6977408256 has 288 divisors, whose sum is σ = 25397272320. Its totient is φ = 1840029696.

The previous prime is 6977408177. The next prime is 6977408327. The reversal of 6977408256 is 6528047796.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623446 + ... + 634538.

Almost surely, 2^6977408256 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 6977408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12698636160).

6977408256 is an abundant number, since it is smaller than the sum of its proper divisors (18419864064).

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

6977408256 is a wasteful number, since it uses less digits than its factorization.

6977408256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11138 (or 11118 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 6977408256 is about 83530.8820496947. The cubic root of 6977408256 is about 1910.8710386174.

The spelling of 6977408256 in words is "six billion, nine hundred seventy-seven million, four hundred eight thousand, two hundred fifty-six".