78164406432 has 1008 divisors, whose sum is σ = 292017247200. Its totient is φ = 20457722880.

The previous prime is 78164406427. The next prime is 78164406449. The reversal of 78164406432 is 23460446187.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×78164406432² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1281383682 + ... + 1281383742.

It is an arithmetic number, because the mean of its divisors is an integer number (289699650).

Almost surely, 2^78164406432 is an apocalyptic number.

78164406432 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 78164406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146008623600).

78164406432 is an abundant number, since it is smaller than the sum of its proper divisors (213852840768).

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

78164406432 is a wasteful number, since it uses less digits than its factorization.

78164406432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 78164406432 in words is "seventy-eight billion, one hundred sixty-four million, four hundred six thousand, four hundred thirty-two".