6760608040 has 128 divisors (see below), whose sum is σ = 16247174400. Its totient is φ = 2526289920.

The previous prime is 6760607993. The next prime is 6760608149. The reversal of 6760608040 is 408060676.

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, 10045144 + ... + 10045816.

It is an arithmetic number, because the mean of its divisors is an integer number (126931050).

Almost surely, 2^6760608040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6760608040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8123587200).

6760608040 is an abundant number, since it is smaller than the sum of its proper divisors (9486566360).

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

6760608040 is a wasteful number, since it uses less digits than its factorization.

6760608040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 6760608040 is about 82222.9167568264. The cubic root of 6760608040 is about 1890.8710783639.

The spelling of 6760608040 in words is "six billion, seven hundred sixty million, six hundred eight thousand, forty".