6876633120 has 192 divisors, whose sum is σ = 25609893120. Its totient is φ = 1517580288.

The previous prime is 6876633109. The next prime is 6876633163. The reversal of 6876633120 is 213366786.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62154 + ... + 132726.

It is an arithmetic number, because the mean of its divisors is an integer number (133384860).

Almost surely, 2^6876633120 is an apocalyptic number.

6876633120 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 6876633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804946560).

6876633120 is an abundant number, since it is smaller than the sum of its proper divisors (18733260000).

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

6876633120 is a wasteful number, since it uses less digits than its factorization.

6876633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70627 (or 70619 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 6876633120 is about 82925.4672582555. The cubic root of 6876633120 is about 1901.6267803447.

The spelling of 6876633120 in words is "six billion, eight hundred seventy-six million, six hundred thirty-three thousand, one hundred twenty".