6980867895456 has 648 divisors, whose sum is σ = 26477080775964. Its totient is φ = 1732797480960.

The previous prime is 6980867895389. The next prime is 6980867895467. The reversal of 6980867895456 is 6545987680896.

6980867895456 is a `hidden beast` number, since 6 + 9 + 8 + 0 + 8 + 6 + 78 + 95 + 456 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3352985805456 + 3627882090000 = 1831116^2 + 1904700^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 40457686 + ... + 40629866.

Almost surely, 2^{6980867895456} 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 6980867895456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13238540387982).

6980867895456 is an abundant number, since it is smaller than the sum of its proper divisors (19496212880508).

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

6980867895456 is a wasteful number, since it uses less digits than its factorization.

6980867895456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172254 (or 172223 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 6980867895456 in words is "six trillion, nine hundred eighty billion, eight hundred sixty-seven million, eight hundred ninety-five thousand, four hundred fifty-six".