620865600264 has 768 divisors, whose sum is σ = 2317660128000. Its totient is φ = 152165744640.

The previous prime is 620865600233. The next prime is 620865600281. The reversal of 620865600264 is 462006568026.

620865600264 is a `hidden beast` number, since 6 + 2 + 0 + 86 + 560 + 0 + 2 + 6 + 4 = 666.

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 191 ways as a sum of consecutive naturals, for example, 138552904 + ... + 138557384.

It is an arithmetic number, because the mean of its divisors is an integer number (3017786625).

Almost surely, 2^620865600264 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 620865600264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158830064000).

620865600264 is an abundant number, since it is smaller than the sum of its proper divisors (1696794527736).

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

620865600264 is a wasteful number, since it uses less digits than its factorization.

620865600264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 620865600264 in words is "six hundred twenty billion, eight hundred sixty-five million, six hundred thousand, two hundred sixty-four".