6983746560 has 528 divisors, whose sum is σ = 28899054720. Its totient is φ = 1594736640.

The previous prime is 6983746537. The next prime is 6983746577. The reversal of 6983746560 is 656473896.

6983746560 is a `hidden beast` number, since 6 + 9 + 8 + 3 + 74 + 6 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6983746497 and 6983746506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6773245 + ... + 6774275.

Almost surely, 2^6983746560 is an apocalyptic number.

6983746560 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 6983746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449527360).

6983746560 is an abundant number, since it is smaller than the sum of its proper divisors (21915308160).

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

6983746560 is a wasteful number, since it uses less digits than its factorization.

6983746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6983746560 is about 83568.8133217171. The cubic root of 6983746560 is about 1911.4494776558.

The spelling of 6983746560 in words is "six billion, nine hundred eighty-three million, seven hundred forty-six thousand, five hundred sixty".