7879760325360 has 1920 divisors, whose sum is σ = 34867111219200. Its totient is φ = 1560432107520.

The previous prime is 7879760325337. The next prime is 7879760325421. The reversal of 7879760325360 is 635230679787.

7879760325360 is a `hidden beast` number, since 7 + 8 + 7 + 9 + 7 + 60 + 32 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 13154858341 + ... + 13154858939.

It is an arithmetic number, because the mean of its divisors is an integer number (18159953760).

Almost surely, 2^{7879760325360} is an apocalyptic number.

7879760325360 is a gapful number since it is divisible by the number (70) 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 7879760325360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17433555609600).

7879760325360 is an abundant number, since it is smaller than the sum of its proper divisors (26987350893840).

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

7879760325360 is a wasteful number, since it uses less digits than its factorization.

7879760325360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 7879760325360 in words is "seven trillion, eight hundred seventy-nine billion, seven hundred sixty million, three hundred twenty-five thousand, three hundred sixty".