626408640 has 560 divisors, whose sum is σ = 2633289120. Its totient is φ = 140175360.

The previous prime is 626408623. The next prime is 626408659. The reversal of 626408640 is 46804626.

It is a happy number.

626408640 is a `hidden beast` number, since 6 + 2 + 6 + 4 + 0 + 8 + 640 = 666.

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 = 626408595 and 626408604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48185274 + ... + 48185286.

It is an arithmetic number, because the mean of its divisors is an integer number (4702302).

Almost surely, 2^626408640 is an apocalyptic number.

626408640 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 626408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316644560).

626408640 is an abundant number, since it is smaller than the sum of its proper divisors (2006880480).

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

626408640 is a wasteful number, since it uses less digits than its factorization.

626408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 626408640 is about 25028.1569437304. The cubic root of 626408640 is about 855.6298221795.

The spelling of 626408640 in words is "six hundred twenty-six million, four hundred eight thousand, six hundred forty".