19568400768 has 256 divisors, whose sum is σ = 66177600000. Its totient is φ = 5576325120.

The previous prime is 19568400757. The next prime is 19568400769. The reversal of 19568400768 is 86700486591.

19568400768 is a `hidden beast` number, since 1 + 9 + 568 + 4 + 0 + 0 + 76 + 8 = 666.

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 (19568400769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12070998 + ... + 12072618.

It is an arithmetic number, because the mean of its divisors is an integer number (258506250).

Almost surely, 2^19568400768 is an apocalyptic number.

19568400768 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 19568400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33088800000).

19568400768 is an abundant number, since it is smaller than the sum of its proper divisors (46609199232).

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

19568400768 is a wasteful number, since it uses less digits than its factorization.

19568400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 19568400768 in words is "nineteen billion, five hundred sixty-eight million, four hundred thousand, seven hundred sixty-eight".