624667680 has 576 divisors, whose sum is σ = 2750993280. Its totient is φ = 131217408.

The previous prime is 624667679. The next prime is 624667709. The reversal of 624667680 is 86766426.

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 95 ways as a sum of consecutive naturals, for example, 2751727 + ... + 2751953.

It is an arithmetic number, because the mean of its divisors is an integer number (4776030).

Almost surely, 2^624667680 is an apocalyptic number.

624667680 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 624667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375496640).

624667680 is an abundant number, since it is smaller than the sum of its proper divisors (2126325600).

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

624667680 is a wasteful number, since it uses less digits than its factorization.

624667680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 624667680 is about 24993.3527162724. The cubic root of 624667680 is about 854.8364106842.

The spelling of 624667680 in words is "six hundred twenty-four million, six hundred sixty-seven thousand, six hundred eighty".