15864480736 has 192 divisors, whose sum is σ = 36121075200. Its totient is φ = 6802937856.

The previous prime is 15864480707. The next prime is 15864480811. The reversal of 15864480736 is 63708446851.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 88628295 + ... + 88628473.

It is an arithmetic number, because the mean of its divisors is an integer number (188130600).

Almost surely, 2^15864480736 is an apocalyptic number.

15864480736 is a gapful number since it is divisible by the number (16) 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 15864480736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18060537600).

15864480736 is an abundant number, since it is smaller than the sum of its proper divisors (20256594464).

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

15864480736 is a wasteful number, since it uses less digits than its factorization.

15864480736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 15864480736 in words is "fifteen billion, eight hundred sixty-four million, four hundred eighty thousand, seven hundred thirty-six".