68572236658464 has 1920 divisors, whose sum is σ = 271128189911040. Its totient is φ = 16483079577600.

The previous prime is 68572236658459. The next prime is 68572236658469. The reversal of 68572236658464 is 46485663227586.

68572236658464 is a `hidden beast` number, since 6 + 8 + 5 + 7 + 2 + 2 + 36 + 6 + 584 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (68572236658459) and next prime (68572236658469).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 68572236658392 and 68572236658401.

It is not an unprimeable number, because it can be changed into a prime (68572236658469) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13506445494 + ... + 13506450570.

It is an arithmetic number, because the mean of its divisors is an integer number (141212598912).

Almost surely, 2^{68572236658464} 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 68572236658464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135564094955520).

68572236658464 is an abundant number, since it is smaller than the sum of its proper divisors (202555953252576).

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

68572236658464 is a wasteful number, since it uses less digits than its factorization.

68572236658464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5244 (or 5227 counting only the distinct ones).

The product of its digits is 2786918400, while the sum is 72.

The spelling of 68572236658464 in words is "sixty-eight trillion, five hundred seventy-two billion, two hundred thirty-six million, six hundred fifty-eight thousand, four hundred sixty-four".