7865905815360 has 672 divisors, whose sum is σ = 29021261727744. Its totient is φ = 1948557312000.

The previous prime is 7865905815349. The next prime is 7865905815373. The reversal of 7865905815360 is 635185095687.

7865905815360 is a `hidden beast` number, since 7 + 8 + 6 + 5 + 90 + 5 + 8 + 1 + 536 + 0 = 666.

It is a super-2 number, since 2×7865905815360² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1225024950 + ... + 1225031370.

Almost surely, 2^{7865905815360} 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 7865905815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14510630863872).

7865905815360 is an abundant number, since it is smaller than the sum of its proper divisors (21155355912384).

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

7865905815360 is a wasteful number, since it uses less digits than its factorization.

7865905815360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 7865905815360 in words is "seven trillion, eight hundred sixty-five billion, nine hundred five million, eight hundred fifteen thousand, three hundred sixty".