6687957120 has 256 divisors, whose sum is σ = 23450273280. Its totient is φ = 1610956800.

The previous prime is 6687957103. The next prime is 6687957139. The reversal of 6687957120 is 217597866.

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, 1170270 + ... + 1175970.

It is an arithmetic number, because the mean of its divisors is an integer number (91602630).

Almost surely, 2^6687957120 is an apocalyptic number.

6687957120 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 6687957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11725136640).

6687957120 is an abundant number, since it is smaller than the sum of its proper divisors (16762316160).

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

6687957120 is a wasteful number, since it uses less digits than its factorization.

6687957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 6687957120 is about 81779.9310344537. The cubic root of 6687957120 is about 1884.0734371237.

The spelling of 6687957120 in words is "six billion, six hundred eighty-seven million, nine hundred fifty-seven thousand, one hundred twenty".