6815960856576 has 336 divisors, whose sum is σ = 20461906319400. Its totient is φ = 2268834250752.

The previous prime is 6815960856569. The next prime is 6815960856583. The reversal of 6815960856576 is 6756580695186.

It is a happy number.

6815960856576 is a `hidden beast` number, since 6 + 8 + 1 + 5 + 9 + 608 + 5 + 6 + 5 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6815960856569) and next prime (6815960856583).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1237687615 + ... + 1237693121.

Almost surely, 2^{6815960856576} 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 6815960856576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10230953159700).

6815960856576 is an abundant number, since it is smaller than the sum of its proper divisors (13645945462824).

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

6815960856576 is an frugal number, since it uses more digits than its factorization.

6815960856576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 6815960856576 in words is "six trillion, eight hundred fifteen billion, nine hundred sixty million, eight hundred fifty-six thousand, five hundred seventy-six".