10379006607600 has 180 divisors, whose sum is σ = 36133853504112. Its totient is φ = 2758835328000.

The previous prime is 10379006607581. The next prime is 10379006607601. The reversal of 10379006607600 is 670660097301.

10379006607600 is a `hidden beast` number, since 1 + 0 + 37 + 9 + 0 + 0 + 6 + 6 + 0 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10379006607601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3515541 + ... + 5754740.

Almost surely, 2^{10379006607600} is an apocalyptic number.

10379006607600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10379006607600 is an abundant number, since it is smaller than the sum of its proper divisors (25754846896512).

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

10379006607600 is a wasteful number, since it uses less digits than its factorization.

10379006607600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9270616 (or 9270602 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 10379006607600 in words is "ten trillion, three hundred seventy-nine billion, six million, six hundred seven thousand, six hundred".