15412864320 has 672 divisors, whose sum is σ = 64304997120. Its totient is φ = 3313336320.

The previous prime is 15412864319. The next prime is 15412864381. The reversal of 15412864320 is 2346821451.

It is a happy number.

15412864320 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 2 + 8 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23969919 + ... + 23970561.

It is an arithmetic number, because the mean of its divisors is an integer number (95691960).

Almost surely, 2^15412864320 is an apocalyptic number.

15412864320 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 15412864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32152498560).

15412864320 is an abundant number, since it is smaller than the sum of its proper divisors (48892132800).

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

15412864320 is a wasteful number, since it uses less digits than its factorization.

15412864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 15412864320 in words is "fifteen billion, four hundred twelve million, eight hundred sixty-four thousand, three hundred twenty".