6883292640 has 576 divisors, whose sum is σ = 27041091840. Its totient is φ = 1463132160.

The previous prime is 6883292627. The next prime is 6883292657. The reversal of 6883292640 is 462923886.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6883292640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32622135 + ... + 32622345.

It is an arithmetic number, because the mean of its divisors is an integer number (46946340).

Almost surely, 2^6883292640 is an apocalyptic number.

6883292640 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 6883292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13520545920).

6883292640 is an abundant number, since it is smaller than the sum of its proper divisors (20157799200).

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

6883292640 is a wasteful number, since it uses less digits than its factorization.

6883292640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 6883292640 is about 82965.6111892150. The cubic root of 6883292640 is about 1902.2404447899.

The spelling of 6883292640 in words is "six billion, eight hundred eighty-three million, two hundred ninety-two thousand, six hundred forty".