6746984252800 has 192 divisors, whose sum is σ = 18192502748160. Its totient is φ = 2452079667200.

The previous prime is 6746984252777. The next prime is 6746984252819. The reversal of 6746984252800 is 82524896476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64117029 + ... + 64222171.

It is an arithmetic number, because the mean of its divisors is an integer number (94752618480).

Almost surely, 2^{6746984252800} 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 6746984252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9096251374080).

6746984252800 is an abundant number, since it is smaller than the sum of its proper divisors (11445518495360).

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

6746984252800 is a wasteful number, since it uses less digits than its factorization.

6746984252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107001 (or 106984 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 61.

The spelling of 6746984252800 in words is "six trillion, seven hundred forty-six billion, nine hundred eighty-four million, two hundred fifty-two thousand, eight hundred".