626564820960 has 480 divisors, whose sum is σ = 2506694873760. Its totient is φ = 146113155072.

The previous prime is 626564820929. The next prime is 626564820961. The reversal of 626564820960 is 69028465626.

It is a happy number.

626564820960 is a `hidden beast` number, since 6 + 26 + 56 + 482 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 626564820897 and 626564820906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (626564820961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3103254 + ... + 3298986.

It is an arithmetic number, because the mean of its divisors is an integer number (5222280987).

Almost surely, 2^626564820960 is an apocalyptic number.

626564820960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 626564820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253347436880).

626564820960 is an abundant number, since it is smaller than the sum of its proper divisors (1880130052800).

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

626564820960 is a wasteful number, since it uses less digits than its factorization.

626564820960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195792 (or 195775 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 626564820960 in words is "six hundred twenty-six billion, five hundred sixty-four million, eight hundred twenty thousand, nine hundred sixty".