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7063880040 = 23325719434773
BaseRepresentation
bin1101001010000101…
…00100000101101000
3200020021221021201200
412211002210011220
5103431323130130
63124535244200
7340022663310
oct64502440550
920207837650
107063880040
112aa5415698
121451819660
13887610c99
144b0228440
152b5236760
hex1a50a4168

7063880040 has 768 divisors, whose sum is σ = 29257113600. Its totient is φ = 1442230272.

The previous prime is 7063880009. The next prime is 7063880053. The reversal of 7063880040 is 400883607.

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 = 7063879977 and 7063880004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96765444 + ... + 96765516.

It is an arithmetic number, because the mean of its divisors is an integer number (38095200).

Almost surely, 27063880040 is an apocalyptic number.

7063880040 is a gapful number since it is divisible by the number (70) 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 7063880040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14628556800).

7063880040 is an abundant number, since it is smaller than the sum of its proper divisors (22193233560).

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

7063880040 is a wasteful number, since it uses less digits than its factorization.

7063880040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7063880040 is about 84046.8919115990. The cubic root of 7063880040 is about 1918.7325293602.

The spelling of 7063880040 in words is "seven billion, sixty-three million, eight hundred eighty thousand, forty".