10664770132800 has 1680 divisors, whose sum is σ = 47624894986240. Its totient is φ = 2286562037760.

The previous prime is 10664770132789. The next prime is 10664770132837. The reversal of 10664770132800 is 823107746601.

10664770132800 is a `hidden beast` number, since 10 + 66 + 477 + 0 + 1 + 32 + 80 + 0 = 666.

10664770132800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×10664770132800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1775387397 + ... + 1775393403.

Almost surely, 2^{10664770132800} is an apocalyptic number.

10664770132800 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 10664770132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23812447493120).

10664770132800 is an abundant number, since it is smaller than the sum of its proper divisors (36960124853440).

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

10664770132800 is a wasteful number, since it uses less digits than its factorization.

10664770132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6170 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10664770132800 in words is "ten trillion, six hundred sixty-four billion, seven hundred seventy million, one hundred thirty-two thousand, eight hundred".