6877954944 has 320 divisors, whose sum is σ = 23658132960. Its totient is φ = 1942880256.

The previous prime is 6877954939. The next prime is 6877954997. The reversal of 6877954944 is 4494597786.

6877954944 is a `hidden beast` number, since 6 + 87 + 7 + 9 + 549 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7039384 + ... + 7040360.

Almost surely, 2^6877954944 is an apocalyptic number.

6877954944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6877954944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829066480).

6877954944 is an abundant number, since it is smaller than the sum of its proper divisors (16780178016).

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

6877954944 is an equidigital number, since it uses as much as digits as its factorization.

6877954944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1086 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The square root of 6877954944 is about 82933.4368273738. The cubic root of 6877954944 is about 1901.7486158823.

The spelling of 6877954944 in words is "six billion, eight hundred seventy-seven million, nine hundred fifty-four thousand, nine hundred forty-four".