6480375979392 has 576 divisors, whose sum is σ = 23570942054400. Its totient is φ = 1697494579200.

The previous prime is 6480375979379. The next prime is 6480375979393. The reversal of 6480375979392 is 2939795730846.

6480375979392 is a `hidden beast` number, since 6 + 4 + 80 + 3 + 75 + 97 + 9 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 6480375979392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6480375979393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33150417 + ... + 33345327.

It is an arithmetic number, because the mean of its divisors is an integer number (40921774400).

Almost surely, 2^{6480375979392} is an apocalyptic number.

6480375979392 is a gapful number since it is divisible by the number (62) 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 6480375979392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11785471027200).

6480375979392 is an abundant number, since it is smaller than the sum of its proper divisors (17090566075008).

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

6480375979392 is a wasteful number, since it uses less digits than its factorization.

6480375979392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194995 (or 194973 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 6480375979392 in words is "six trillion, four hundred eighty billion, three hundred seventy-five million, nine hundred seventy-nine thousand, three hundred ninety-two".