6815096305920 has 3456 divisors, whose sum is σ = 30855831552000. Its totient is φ = 1382930841600.

The previous prime is 6815096305819. The next prime is 6815096305957. The reversal of 6815096305920 is 295036905186.

It is a happy number.

6815096305920 is a `hidden beast` number, since 6 + 8 + 1 + 509 + 63 + 0 + 59 + 20 = 666.

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, 115510106851 + ... + 115510106909.

It is an arithmetic number, because the mean of its divisors is an integer number (8928192000).

Almost surely, 2^{6815096305920} is an apocalyptic number.

6815096305920 is a gapful number since it is divisible by the number (60) 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 6815096305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427915776000).

6815096305920 is an abundant number, since it is smaller than the sum of its proper divisors (24040735246080).

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

6815096305920 is a wasteful number, since it uses less digits than its factorization.

6815096305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 6815096305920 in words is "six trillion, eight hundred fifteen billion, ninety-six million, three hundred five thousand, nine hundred twenty".