6900083680 has 192 divisors, whose sum is σ = 19459440000. Its totient is φ = 2262048768.

The previous prime is 6900083657. The next prime is 6900083683. The reversal of 6900083680 is 863800096.

It is a super-2 number, since 2×6900083680² = 95222309582004684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6900083683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3539346 + ... + 3541294.

It is an arithmetic number, because the mean of its divisors is an integer number (101351250).

Almost surely, 2^6900083680 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 6900083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729720000).

6900083680 is an abundant number, since it is smaller than the sum of its proper divisors (12559356320).

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

6900083680 is a wasteful number, since it uses less digits than its factorization.

6900083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 6900083680 is about 83066.7423220629. The cubic root of 6900083680 is about 1903.7859579788.

The spelling of 6900083680 in words is "six billion, nine hundred million, eighty-three thousand, six hundred eighty".