6977679408 has 120 divisors (see below), whose sum is σ = 22792493568. Its totient is φ = 1951191936.

The previous prime is 6977679403. The next prime is 6977679493. The reversal of 6977679408 is 8049767796.

6977679408 is a `hidden beast` number, since 6 + 97 + 76 + 79 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6977679403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26266 + ... + 121017.

Almost surely, 2^6977679408 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 6977679408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11396246784).

6977679408 is an abundant number, since it is smaller than the sum of its proper divisors (15814814160).

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

6977679408 is a wasteful number, since it uses less digits than its factorization.

6977679408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147351 (or 147342 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The square root of 6977679408 is about 83532.5050983149. The cubic root of 6977679408 is about 1910.8957913515.

The spelling of 6977679408 in words is "six billion, nine hundred seventy-seven million, six hundred seventy-nine thousand, four hundred eight".