15753478664 has 128 divisors (see below), whose sum is σ = 38847513600. Its totient is φ = 5802243840.

The previous prime is 15753478627. The next prime is 15753478679. The reversal of 15753478664 is 46687435751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 6869102 + ... + 6871394.

It is an arithmetic number, because the mean of its divisors is an integer number (303496200).

Almost surely, 2^15753478664 is an apocalyptic number.

15753478664 is a gapful number since it is divisible by the number (14) 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 15753478664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19423756800).

15753478664 is an abundant number, since it is smaller than the sum of its proper divisors (23094034936).

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

15753478664 is a wasteful number, since it uses less digits than its factorization.

15753478664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2919 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 56.

The spelling of 15753478664 in words is "fifteen billion, seven hundred fifty-three million, four hundred seventy-eight thousand, six hundred sixty-four".