6976672800 has 288 divisors, whose sum is σ = 23848473600. Its totient is φ = 1768166400.

The previous prime is 6976672793. The next prime is 6976672837. The reversal of 6976672800 is 82766796.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11646901 + ... + 11647499.

It is an arithmetic number, because the mean of its divisors is an integer number (82807200).

Almost surely, 2^6976672800 is an apocalyptic number.

6976672800 is a gapful number since it is divisible by the number (60) 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 6976672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924236800).

6976672800 is an abundant number, since it is smaller than the sum of its proper divisors (16871800800).

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

6976672800 is a wasteful number, since it uses less digits than its factorization.

6976672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 6976672800 is about 83526.4796337066. The cubic root of 6976672800 is about 1910.8038975960.

The spelling of 6976672800 in words is "six billion, nine hundred seventy-six million, six hundred seventy-two thousand, eight hundred".