624079680 has 168 divisors, whose sum is σ = 2305129248. Its totient is φ = 142636032.

The previous prime is 624079679. The next prime is 624079691. The reversal of 624079680 is 86970426.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 40407 + ... + 53673.

Almost surely, 2^624079680 is an apocalyptic number.

624079680 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 624079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152564624).

624079680 is an abundant number, since it is smaller than the sum of its proper divisors (1681049568).

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

624079680 is a wasteful number, since it uses less digits than its factorization.

624079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13301 (or 13284 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 624079680 is about 24981.5868190954. The cubic root of 624079680 is about 854.5681071680.

The spelling of 624079680 in words is "six hundred twenty-four million, seventy-nine thousand, six hundred eighty".