6749583998976 has 2304 divisors, whose sum is σ = 26976848371200. Its totient is φ = 1605264998400.

The previous prime is 6749583998959. The next prime is 6749583999019. The reversal of 6749583998976 is 6798993859476.

6749583998976 is a `hidden beast` number, since 6 + 7 + 495 + 8 + 39 + 9 + 89 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110648917986 + ... + 110648918046.

It is an arithmetic number, because the mean of its divisors is an integer number (11708701550).

Almost surely, 2^{6749583998976} 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 6749583998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13488424185600).

6749583998976 is an abundant number, since it is smaller than the sum of its proper divisors (20227264372224).

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

6749583998976 is a wasteful number, since it uses less digits than its factorization.

6749583998976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 136 counting only the distinct ones).

The product of its digits is 44442639360, while the sum is 90.

The spelling of 6749583998976 in words is "six trillion, seven hundred forty-nine billion, five hundred eighty-three million, nine hundred ninety-eight thousand, nine hundred seventy-six".