78462732544 has 243 divisors, whose sum is σ = 189852960843. Its totient is φ = 32268902400.

The previous prime is 78462732511. The next prime is 78462732571. The reversal of 78462732544 is 44523726487.

The square root of 78462732544 is 280112.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 66415474944 + 12047257600 = 257712^2 + 109760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 78462732491 and 78462732500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1286274274 + ... + 1286274334.

Almost surely, 2^78462732544 is an apocalyptic number.

78462732544 is the 280112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78462732544

78462732544 is an abundant number, since it is smaller than the sum of its proper divisors (111390228299).

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

78462732544 is an frugal number, since it uses more digits than its factorization.

78462732544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 111 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 52.

The spelling of 78462732544 in words is "seventy-eight billion, four hundred sixty-two million, seven hundred thirty-two thousand, five hundred forty-four".