10379747664000 has 3072 divisors, whose sum is σ = 46914940800000. Its totient is φ = 2160525312000.

The previous prime is 10379747663963. The next prime is 10379747664029. The reversal of 10379747664000 is 46674797301.

10379747664000 is a `hidden beast` number, since 10 + 37 + 97 + 476 + 6 + 40 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52159535901 + ... + 52159536099.

It is an arithmetic number, because the mean of its divisors is an integer number (15271790625).

Almost surely, 2^{10379747664000} is an apocalyptic number.

10379747664000 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 10379747664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23457470400000).

10379747664000 is an abundant number, since it is smaller than the sum of its proper divisors (36535193136000).

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

10379747664000 is a wasteful number, since it uses less digits than its factorization.

10379747664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 10379747664000 in words is "ten trillion, three hundred seventy-nine billion, seven hundred forty-seven million, six hundred sixty-four thousand".