65616920964 has 405 divisors, whose sum is σ = 212582913543. Its totient is φ = 17594980704.

The previous prime is 65616920953. The next prime is 65616921031. The reversal of 65616920964 is 46902961656.

The square root of 65616920964 is 256158.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 65616920964.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 613242199 + ... + 613242305.

Almost surely, 2^65616920964 is an apocalyptic number.

65616920964 is the 256158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65616920964

65616920964 is an abundant number, since it is smaller than the sum of its proper divisors (146965992579).

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

65616920964 is a wasteful number, since it uses less digits than its factorization.

65616920964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 65616920964 in words is "sixty-five billion, six hundred sixteen million, nine hundred twenty thousand, nine hundred sixty-four".