19792567440 has 120 divisors (see below), whose sum is σ = 66495531960. Its totient is φ = 5275994112.

The previous prime is 19792567433. The next prime is 19792567451. The reversal of 19792567440 is 4476529791.

19792567440 is a `hidden beast` number, since 1 + 9 + 79 + 2 + 567 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201526416 + 19591041024 = 14196^2 + 139968^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3401974 + ... + 3407786.

It is an arithmetic number, because the mean of its divisors is an integer number (554129433).

Almost surely, 2^19792567440 is an apocalyptic number.

19792567440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19792567440 is an abundant number, since it is smaller than the sum of its proper divisors (46702964520).

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

19792567440 is a wasteful number, since it uses less digits than its factorization.

19792567440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10561 (or 10552 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 19792567440 in words is "nineteen billion, seven hundred ninety-two million, five hundred sixty-seven thousand, four hundred forty".