15540864768 has 432 divisors, whose sum is σ = 54622678656. Its totient is φ = 4344606720.

The previous prime is 15540864767. The next prime is 15540864799. The reversal of 15540864768 is 86746804551.

15540864768 is a `hidden beast` number, since 1 + 55 + 40 + 86 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15540864767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8894871 + ... + 8896617.

Almost surely, 2^15540864768 is an apocalyptic number.

15540864768 is a gapful number since it is divisible by the number (18) 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 15540864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27311339328).

15540864768 is an abundant number, since it is smaller than the sum of its proper divisors (39081813888).

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

15540864768 is a wasteful number, since it uses less digits than its factorization.

15540864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 15540864768 in words is "fifteen billion, five hundred forty million, eight hundred sixty-four thousand, seven hundred sixty-eight".