78432896640 has 384 divisors, whose sum is σ = 300214494720. Its totient is φ = 17348567040.

The previous prime is 78432896627. The next prime is 78432896687. The reversal of 78432896640 is 4669823487.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×78432896640³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2903034 + ... + 2929926.

It is an arithmetic number, because the mean of its divisors is an integer number (781808580).

Almost surely, 2^78432896640 is an apocalyptic number.

78432896640 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 78432896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150107247360).

78432896640 is an abundant number, since it is smaller than the sum of its proper divisors (221781598080).

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

78432896640 is a wasteful number, since it uses less digits than its factorization.

78432896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26960 (or 26941 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 78432896640 in words is "seventy-eight billion, four hundred thirty-two million, eight hundred ninety-six thousand, six hundred forty".