6983104602240 has 768 divisors, whose sum is σ = 26192170368000. Its totient is φ = 1704179367936.

The previous prime is 6983104602203. The next prime is 6983104602241. The reversal of 6983104602240 is 422064013896.

6983104602240 is a `hidden beast` number, since 6 + 9 + 8 + 3 + 10 + 4 + 602 + 24 + 0 = 666.

It is a super-2 number, since 2×6983104602240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6983104602241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4852747441 + ... + 4852748879.

It is an arithmetic number, because the mean of its divisors is an integer number (34104388500).

Almost surely, 2^{6983104602240} is an apocalyptic number.

6983104602240 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 6983104602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096085184000).

6983104602240 is an abundant number, since it is smaller than the sum of its proper divisors (19209065765760).

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

6983104602240 is a wasteful number, since it uses less digits than its factorization.

6983104602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 6983104602240 in words is "six trillion, nine hundred eighty-three billion, one hundred four million, six hundred two thousand, two hundred forty".