39956811664 has 225 divisors, whose sum is σ = 100768131435. Its totient is φ = 15303731520.

The previous prime is 39956811619. The next prime is 39956811701. The reversal of 39956811664 is 46611865993.

It is a happy number.

The square root of 39956811664 is 199892.

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

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 39956811599 and 39956811608.

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 44 ways as a sum of consecutive naturals, for example, 677234067 + ... + 677234125.

Almost surely, 2^39956811664 is an apocalyptic number.

39956811664 is the 199892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39956811664

39956811664 is an abundant number, since it is smaller than the sum of its proper divisors (60811319771).

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

39956811664 is an frugal number, since it uses more digits than its factorization.

39956811664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 79 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 58.

The spelling of 39956811664 in words is "thirty-nine billion, nine hundred fifty-six million, eight hundred eleven thousand, six hundred sixty-four".