6366925736640 has 784 divisors, whose sum is σ = 27346255614720. Its totient is φ = 1378695997440.

The previous prime is 6366925736581. The next prime is 6366925736791. The reversal of 6366925736640 is 466375296636.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 30923635 + ... + 31128845.

It is an arithmetic number, because the mean of its divisors is an integer number (34880428080).

Almost surely, 2^{6366925736640} is an apocalyptic number.

6366925736640 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 6366925736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673127807360).

6366925736640 is an abundant number, since it is smaller than the sum of its proper divisors (20979329878080).

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

6366925736640 is a wasteful number, since it uses less digits than its factorization.

6366925736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205272 (or 205247 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 63.

The spelling of 6366925736640 in words is "six trillion, three hundred sixty-six billion, nine hundred twenty-five million, seven hundred thirty-six thousand, six hundred forty".