646269624 has 512 divisors, whose sum is σ = 2499840000. Its totient is φ = 152409600.

The previous prime is 646269587. The next prime is 646269641. The reversal of 646269624 is 426962646.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 646269624.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 10594554 + ... + 10594614.

It is an arithmetic number, because the mean of its divisors is an integer number (4882500).

Almost surely, 2^646269624 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 646269624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920000).

646269624 is an abundant number, since it is smaller than the sum of its proper divisors (1853570376).

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

646269624 is a wasteful number, since it uses less digits than its factorization.

646269624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 646269624 is about 25421.8336081409. The cubic root of 646269624 is about 864.5787981303.

The spelling of 646269624 in words is "six hundred forty-six million, two hundred sixty-nine thousand, six hundred twenty-four".