6479910120672 has 384 divisors, whose sum is σ = 20326260326400. Its totient is φ = 2002317262848.

The previous prime is 6479910120667. The next prime is 6479910120679. The reversal of 6479910120672 is 2760210199746.

6479910120672 is a `hidden beast` number, since 6 + 479 + 9 + 101 + 2 + 0 + 67 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6479910120679) by changing a digit.

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, 152171448 + ... + 152214024.

It is an arithmetic number, because the mean of its divisors is an integer number (52932969600).

Almost surely, 2^{6479910120672} 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 6479910120672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10163130163200).

6479910120672 is an abundant number, since it is smaller than the sum of its proper divisors (13846350205728).

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

6479910120672 is a wasteful number, since it uses less digits than its factorization.

6479910120672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42815 (or 42801 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 6479910120672 in words is "six trillion, four hundred seventy-nine billion, nine hundred ten million, one hundred twenty thousand, six hundred seventy-two".