6887492640 has 384 divisors, whose sum is σ = 27666455040. Its totient is φ = 1567641600.

The previous prime is 6887492587. The next prime is 6887492671. The reversal of 6887492640 is 462947886.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12730770 + ... + 12731310.

It is an arithmetic number, because the mean of its divisors is an integer number (72048060).

Almost surely, 2^6887492640 is an apocalyptic number.

6887492640 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 6887492640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13833227520).

6887492640 is an abundant number, since it is smaller than the sum of its proper divisors (20778962400).

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

6887492640 is a wasteful number, since it uses less digits than its factorization.

6887492640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 6887492640 is about 82990.9190213002. The cubic root of 6887492640 is about 1902.6272647738.

The spelling of 6887492640 in words is "six billion, eight hundred eighty-seven million, four hundred ninety-two thousand, six hundred forty".