6762794880 has 256 divisors, whose sum is σ = 23107161600. Its totient is φ = 1677975552.

The previous prime is 6762794869. The next prime is 6762794923. The reversal of 6762794880 is 884972676.

It is a self number, because there is not a number n which added to its sum of digits gives 6762794880.

It is a congruent number.

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, 1631851 + ... + 1635989.

It is an arithmetic number, because the mean of its divisors is an integer number (90262350).

Almost surely, 2^6762794880 is an apocalyptic number.

6762794880 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 6762794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11553580800).

6762794880 is an abundant number, since it is smaller than the sum of its proper divisors (16344366720).

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

6762794880 is a wasteful number, since it uses less digits than its factorization.

6762794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The square root of 6762794880 is about 82236.2139206323. The cubic root of 6762794880 is about 1891.0749351133.

The spelling of 6762794880 in words is "six billion, seven hundred sixty-two million, seven hundred ninety-four thousand, eight hundred eighty".