78321957474816 has 320 divisors, whose sum is σ = 261635864054400. Its totient is φ = 22915513958400.

The previous prime is 78321957474767. The next prime is 78321957474823. The reversal of 78321957474816 is 61847475912387.

It is a happy number.

78321957474816 is a `hidden beast` number, since 7 + 8 + 3 + 2 + 1 + 9 + 574 + 7 + 48 + 1 + 6 = 666.

It is a super-2 number, since 2×78321957474816² (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 31 ways as a sum of consecutive naturals, for example, 4470475 + ... + 13290186.

It is an arithmetic number, because the mean of its divisors is an integer number (817612075170).

Almost surely, 2^{78321957474816} is an apocalyptic number.

It is an amenable number.

78321957474816 is an abundant number, since it is smaller than the sum of its proper divisors (183313906579584).

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

78321957474816 is a wasteful number, since it uses less digits than its factorization.

78321957474816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17760728 (or 17760706 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 78321957474816 in words is "seventy-eight trillion, three hundred twenty-one billion, nine hundred fifty-seven million, four hundred seventy-four thousand, eight hundred sixteen".