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66763022040 = 2334511131031399
BaseRepresentation
bin111110001011011000…
…101101111011011000
320101022211101220220000
4332023120231323120
52043212313201130
650400455133000
74552310216061
oct761330557330
9211284356800
1066763022040
112634aa92680
1210b32974160
1363ac92c990
143334b63568
151b0b35b260
hexf8b62ded8

66763022040 has 640 divisors, whose sum is σ = 266378112000. Its totient is φ = 14784353280.

The previous prime is 66763022003. The next prime is 66763022077. The reversal of 66763022040 is 4022036766.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66763022003) and next prime (66763022077).

It is a super-2 number, since 2×667630220402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66763021986 and 66763022004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47721261 + ... + 47722659.

It is an arithmetic number, because the mean of its divisors is an integer number (416215800).

Almost surely, 266763022040 is an apocalyptic number.

66763022040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66763022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189056000).

66763022040 is an abundant number, since it is smaller than the sum of its proper divisors (199615089960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66763022040 is a wasteful number, since it uses less digits than its factorization.

66763022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 66763022040 in words is "sixty-six billion, seven hundred sixty-three million, twenty-two thousand, forty".