6976287864 has 384 divisors, whose sum is σ = 24852172800. Its totient is φ = 1763907840.

The previous prime is 6976287823. The next prime is 6976287889. The reversal of 6976287864 is 4687826796.

It is a super-2 number, since 2×6976287864² = 97337184722787364992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65198899 + ... + 65199005.

It is an arithmetic number, because the mean of its divisors is an integer number (64719200).

Almost surely, 2^6976287864 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 6976287864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12426086400).

6976287864 is an abundant number, since it is smaller than the sum of its proper divisors (17875884936).

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

6976287864 is a wasteful number, since it uses less digits than its factorization.

6976287864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 163 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 6976287864 is about 83524.1753266681. The cubic root of 6976287864 is about 1910.7687542568.

The spelling of 6976287864 in words is "six billion, nine hundred seventy-six million, two hundred eighty-seven thousand, eight hundred sixty-four".