15624416640 has 256 divisors, whose sum is σ = 58755133440. Its totient is φ = 3456000000.

The previous prime is 15624416611. The next prime is 15624416657. The reversal of 15624416640 is 4661442651.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397890 + ... + 435390.

It is an arithmetic number, because the mean of its divisors is an integer number (229512240).

Almost surely, 2^15624416640 is an apocalyptic number.

15624416640 is a gapful number since it is divisible by the number (10) 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 15624416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29377566720).

15624416640 is an abundant number, since it is smaller than the sum of its proper divisors (43130716800).

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

15624416640 is a wasteful number, since it uses less digits than its factorization.

15624416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37561 (or 37549 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 15624416640 in words is "fifteen billion, six hundred twenty-four million, four hundred sixteen thousand, six hundred forty".