13456766400 has 672 divisors, whose sum is σ = 57472892928. Its totient is φ = 2672947200.

The previous prime is 13456766399. The next prime is 13456766417. The reversal of 13456766400 is 466765431.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 8500009 + ... + 8501591.

Almost surely, 2^13456766400 is an apocalyptic number.

13456766400 is a gapful number since it is divisible by the number (10) 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 13456766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28736446464).

13456766400 is an abundant number, since it is smaller than the sum of its proper divisors (44016126528).

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

13456766400 is a wasteful number, since it uses less digits than its factorization.

13456766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 13456766400 in words is "thirteen billion, four hundred fifty-six million, seven hundred sixty-six thousand, four hundred".