15768768960 has 560 divisors, whose sum is σ = 64553201856. Its totient is φ = 3579199488.

The previous prime is 15768768947. The next prime is 15768768997. The reversal of 15768768960 is 6986786751.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42275334 + ... + 42275706.

Almost surely, 2^15768768960 is an apocalyptic number.

15768768960 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 15768768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32276600928).

15768768960 is an abundant number, since it is smaller than the sum of its proper divisors (48784432896).

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

15768768960 is a wasteful number, since it uses less digits than its factorization.

15768768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 15768768960 in words is "fifteen billion, seven hundred sixty-eight million, seven hundred sixty-eight thousand, nine hundred sixty".