10379617042368 has 336 divisors, whose sum is σ = 32357826860544. Its totient is φ = 2936150246400.

The previous prime is 10379617042351. The next prime is 10379617042381. The reversal of 10379617042368 is 86324071697301.

10379617042368 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 (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325905421 + ... + 325937267.

Almost surely, 2^{10379617042368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10379617042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16178913430272).

10379617042368 is an abundant number, since it is smaller than the sum of its proper divisors (21978209818176).

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

10379617042368 is an frugal number, since it uses more digits than its factorization.

10379617042368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31998 (or 31960 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 10379617042368 in words is "ten trillion, three hundred seventy-nine billion, six hundred seventeen million, forty-two thousand, three hundred sixty-eight".