65072256404364 has 192 divisors, whose sum is σ = 194989698247680. Its totient is φ = 18547417175040.

The previous prime is 65072256404327. The next prime is 65072256404377. The reversal of 65072256404364 is 46340465227056.

65072256404364 is a `hidden beast` number, since 6 + 5 + 0 + 7 + 225 + 6 + 404 + 3 + 6 + 4 = 666.

It is a super-2 number, since 2×65072256404364² (a number of 28 digits) contains 22 as substring.

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 65072256404364.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31577377 + ... + 33574919.

It is an arithmetic number, because the mean of its divisors is an integer number (1015571345040).

Almost surely, 2^{65072256404364} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65072256404364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97494849123840).

65072256404364 is an abundant number, since it is smaller than the sum of its proper divisors (129917441843316).

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

65072256404364 is a wasteful number, since it uses less digits than its factorization.

65072256404364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999197 (or 1999189 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 65072256404364 in words is "sixty-five trillion, seventy-two billion, two hundred fifty-six million, four hundred four thousand, three hundred sixty-four".