646924680 has 288 divisors, whose sum is σ = 2277475200. Its totient is φ = 159134976.

The previous prime is 646924667. The next prime is 646924697. The reversal of 646924680 is 86429646.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 8188881 + ... + 8188959.

It is an arithmetic number, because the mean of its divisors is an integer number (7907900).

Almost surely, 2^646924680 is an apocalyptic number.

646924680 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 646924680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138737600).

646924680 is an abundant number, since it is smaller than the sum of its proper divisors (1630550520).

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

646924680 is a wasteful number, since it uses less digits than its factorization.

646924680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 646924680 is about 25434.7140734863. The cubic root of 646924680 is about 864.8708105591.

The spelling of 646924680 in words is "six hundred forty-six million, nine hundred twenty-four thousand, six hundred eighty".