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66619893912480 = 253451929411391637
BaseRepresentation
bin11110010010111001001110…
…00111001001001110100000
322201212210120221200120220000
433021130213013021032200
532213000020320144410
6353404431243220000
720014062034653516
oct1711344707111640
9281783527616800
1066619893912480
111a25537a377a37
12757b46b817600
132b232c927ab1c
1412645c49584b6
157a7e0a16adc0
hex3c97271c93a0

66619893912480 has 1920 divisors, whose sum is σ = 264313681632000. Its totient is φ = 15729924833280.

The previous prime is 66619893912479. The next prime is 66619893912491. The reversal of 66619893912480 is 8421939891666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 66619893912399 and 66619893912408.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 40696330222 + ... + 40696331858.

It is an arithmetic number, because the mean of its divisors is an integer number (137663375850).

Almost surely, 266619893912480 is an apocalyptic number.

66619893912480 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 66619893912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132156840816000).

66619893912480 is an abundant number, since it is smaller than the sum of its proper divisors (197693787719520).

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

66619893912480 is a wasteful number, since it uses less digits than its factorization.

66619893912480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 66619893912480 in words is "sixty-six trillion, six hundred nineteen billion, eight hundred ninety-three million, nine hundred twelve thousand, four hundred eighty".