8379538464960 has 840 divisors, whose sum is σ = 33390249876720. Its totient is φ = 1991499374592.

The previous prime is 8379538464953. The next prime is 8379538464971. The reversal of 8379538464960 is 694648359738.

8379538464960 is a `hidden beast` number, since 8 + 3 + 7 + 9 + 53 + 84 + 6 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 127000939 + ... + 127066901.

Almost surely, 2^{8379538464960} is an apocalyptic number.

8379538464960 is a gapful number since it is divisible by the number (80) 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 8379538464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16695124938360).

8379538464960 is an abundant number, since it is smaller than the sum of its proper divisors (25010711411760).

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

8379538464960 is a wasteful number, since it uses less digits than its factorization.

8379538464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66047 (or 66015 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 8379538464960 in words is "eight trillion, three hundred seventy-nine billion, five hundred thirty-eight million, four hundred sixty-four thousand, nine hundred sixty".