6877970496 has 280 divisors, whose sum is σ = 21274812416. Its totient is φ = 2194698240.

The previous prime is 6877970471. The next prime is 6877970507. The reversal of 6877970496 is 6940797786.

6877970496 is a `hidden beast` number, since 6 + 8 + 7 + 79 + 70 + 496 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20409240 + ... + 20409576.

Almost surely, 2^6877970496 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 6877970496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10637406208).

6877970496 is an abundant number, since it is smaller than the sum of its proper divisors (14396841920).

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

6877970496 is a wasteful number, since it uses less digits than its factorization.

6877970496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 500 counting only the distinct ones).

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

The square root of 6877970496 is about 82933.5305892617. The cubic root of 6877970496 is about 1901.7500492528.

The spelling of 6877970496 in words is "six billion, eight hundred seventy-seven million, nine hundred seventy thousand, four hundred ninety-six".