19540964664 has 64 divisors (see below), whose sum is σ = 58455885600. Its totient is φ = 6012603648.

The previous prime is 19540964629. The next prime is 19540964671. The reversal of 19540964664 is 46646904591.

19540964664 is a `hidden beast` number, since 1 + 9 + 540 + 96 + 4 + 6 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19540964664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3476709 + ... + 3482324.

Almost surely, 2^19540964664 is an apocalyptic number.

It is an amenable number.

19540964664 is an abundant number, since it is smaller than the sum of its proper divisors (38914920936).

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

19540964664 is a wasteful number, since it uses less digits than its factorization.

19540964664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6959061 (or 6959051 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 19540964664 in words is "nineteen billion, five hundred forty million, nine hundred sixty-four thousand, six hundred sixty-four".