626264640 has 168 divisors, whose sum is σ = 2176427448. Its totient is φ = 165273600.

The previous prime is 626264629. The next prime is 626264651. The reversal of 626264640 is 46462626.

626264640 is a `hidden beast` number, since 6 + 2 + 6 + 2 + 6 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (626264629) and next prime (626264651).

It can be written as a sum of positive squares in 4 ways, for example, as 77580864 + 548683776 = 8808^2 + 23424^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 626264595 and 626264604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289804 + ... + 291956.

Almost surely, 2^626264640 is an apocalyptic number.

626264640 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 626264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088213724).

626264640 is an abundant number, since it is smaller than the sum of its proper divisors (1550162808).

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

626264640 is a wasteful number, since it uses less digits than its factorization.

626264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 626264640 is about 25025.2800184134. The cubic root of 626264640 is about 855.5642525555.

The spelling of 626264640 in words is "six hundred twenty-six million, two hundred sixty-four thousand, six hundred forty".