78137477874432 has 270 divisors, whose sum is σ = 239459175201708. Its totient is φ = 25341875509248.

The previous prime is 78137477874331. The next prime is 78137477874509. The reversal of 78137477874432 is 23447877473187.

78137477874432 is a `hidden beast` number, since 7 + 8 + 1 + 3 + 7 + 477 + 87 + 44 + 32 = 666.

It is a super-2 number, since 2×78137477874432² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27011323 + ... + 29763845.

Almost surely, 2^{78137477874432} is an apocalyptic number.

78137477874432 is a gapful number since it is divisible by the number (72) 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 78137477874432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119729587600854).

78137477874432 is an abundant number, since it is smaller than the sum of its proper divisors (161321697327276).

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

78137477874432 is an equidigital number, since it uses as much as digits as its factorization.

78137477874432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752625 (or 2752565 counting only the distinct ones).

The product of its digits is 1239146496, while the sum is 72.

The spelling of 78137477874432 in words is "seventy-eight trillion, one hundred thirty-seven billion, four hundred seventy-seven million, eight hundred seventy-four thousand, four hundred thirty-two".