6876952704 has 128 divisors (see below), whose sum is σ = 20951616000. Its totient is φ = 2218337280.

The previous prime is 6876952573. The next prime is 6876952711. The reversal of 6876952704 is 4072596786.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75042 + ... + 139230.

It is an arithmetic number, because the mean of its divisors is an integer number (163684500).

Almost surely, 2^6876952704 is an apocalyptic number.

6876952704 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 6876952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10475808000).

6876952704 is an abundant number, since it is smaller than the sum of its proper divisors (14074663296).

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

6876952704 is a wasteful number, since it uses less digits than its factorization.

6876952704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64243 (or 64225 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 6876952704 is about 82927.3941710458. The cubic root of 6876952704 is about 1901.6562385630.

The spelling of 6876952704 in words is "six billion, eight hundred seventy-six million, nine hundred fifty-two thousand, seven hundred four".