10493993664 has 672 divisors, whose sum is σ = 41279673600. Its totient is φ = 2577899520.

The previous prime is 10493993651. The next prime is 10493993711. The reversal of 10493993664 is 46639939401.

10493993664 is a `hidden beast` number, since 1 + 0 + 493 + 9 + 93 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10493993664² (a number of 21 digits) contains 22 as substring.

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 10493993664.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17696152 + ... + 17696744.

Almost surely, 2^10493993664 is an apocalyptic number.

10493993664 is a gapful number since it is divisible by the number (14) 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 10493993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20639836800).

10493993664 is an abundant number, since it is smaller than the sum of its proper divisors (30785679936).

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

10493993664 is a wasteful number, since it uses less digits than its factorization.

10493993664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 10493993664 in words is "ten billion, four hundred ninety-three million, nine hundred ninety-three thousand, six hundred sixty-four".