78997542624 has 1344 divisors, whose sum is σ = 333167385600. Its totient is φ = 17736744960.

The previous prime is 78997542583. The next prime is 78997542647. The reversal of 78997542624 is 42624579987.

78997542624 is a `hidden beast` number, since 7 + 89 + 9 + 7 + 542 + 6 + 2 + 4 = 666.

It is a super-2 number, since 2×78997542624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (60963840) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 396972477 + ... + 396972675.

It is an arithmetic number, because the mean of its divisors is an integer number (247892400).

Almost surely, 2^78997542624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78997542624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166583692800).

78997542624 is an abundant number, since it is smaller than the sum of its proper divisors (254169842976).

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

78997542624 is a wasteful number, since it uses less digits than its factorization.

78997542624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 78997542624 in words is "seventy-eight billion, nine hundred ninety-seven million, five hundred forty-two thousand, six hundred twenty-four".