6440131995264 has 512 divisors, whose sum is σ = 20872000512000. Its totient is φ = 1938731397120.

The previous prime is 6440131995251. The next prime is 6440131995337. The reversal of 6440131995264 is 4625991310446.

6440131995264 is a `hidden beast` number, since 6 + 440 + 1 + 3 + 1 + 99 + 52 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6440131995264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6659908509 + ... + 6659909475.

It is an arithmetic number, because the mean of its divisors is an integer number (40765626000).

Almost surely, 2^{6440131995264} is an apocalyptic number.

6440131995264 is a gapful number since it is divisible by the number (64) 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 6440131995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10436000256000).

6440131995264 is an abundant number, since it is smaller than the sum of its proper divisors (14431868516736).

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

6440131995264 is a wasteful number, since it uses less digits than its factorization.

6440131995264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 6440131995264 in words is "six trillion, four hundred forty billion, one hundred thirty-one million, nine hundred ninety-five thousand, two hundred sixty-four".