65622831027264 has 315 divisors, whose sum is σ = 226300158078357. Its totient is φ = 18748213779456.

The previous prime is 65622831027233. The next prime is 65622831027277. The reversal of 65622831027264 is 46272013822656.

The square root of 65622831027264 is 8100792.

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

65622831027264 is a `hidden beast` number, since 6 + 5 + 62 + 2 + 8 + 310 + 2 + 7 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11832224040000 + 53790606987264 = 3439800^2 + 7334208^2 .

It is a super-2 number, since 2×65622831027264² (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 65622831027264.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4082791132 + ... + 4082807204.

Almost surely, 2^{65622831027264} is an apocalyptic number.

65622831027264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

65622831027264 is the 8100792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65622831027264

65622831027264 is an abundant number, since it is smaller than the sum of its proper divisors (160677327051093).

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

65622831027264 is an frugal number, since it uses more digits than its factorization.

65622831027264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32184 (or 16085 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 65622831027264 in words is "sixty-five trillion, six hundred twenty-two billion, eight hundred thirty-one million, twenty-seven thousand, two hundred sixty-four".