10419653664 has 72 divisors (see below), whose sum is σ = 33863880960. Its totient is φ = 2977043328.

The previous prime is 10419653611. The next prime is 10419653681. The reversal of 10419653664 is 46635691401.

10419653664 is a `hidden beast` number, since 10 + 41 + 9 + 6 + 536 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2582224 + ... + 2586255.

It is an arithmetic number, because the mean of its divisors is an integer number (470331680).

Almost surely, 2^10419653664 is an apocalyptic number.

10419653664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10419653664 is an abundant number, since it is smaller than the sum of its proper divisors (23444227296).

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

10419653664 is a wasteful number, since it uses less digits than its factorization.

10419653664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168502 (or 5168491 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10419653664 in words is "ten billion, four hundred nineteen million, six hundred fifty-three thousand, six hundred sixty-four".