6479248291824 has 540 divisors, whose sum is σ = 21576922056312. Its totient is φ = 1669260257280.

The previous prime is 6479248291807. The next prime is 6479248291861. The reversal of 6479248291824 is 4281928429746.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 5341506642 + ... + 5341507854.

Almost surely, 2^{6479248291824} 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 6479248291824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10788461028156).

6479248291824 is an abundant number, since it is smaller than the sum of its proper divisors (15097673764488).

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

6479248291824 is a wasteful number, since it uses less digits than its factorization.

6479248291824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1373 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 66.

The spelling of 6479248291824 in words is "six trillion, four hundred seventy-nine billion, two hundred forty-eight million, two hundred ninety-one thousand, eight hundred twenty-four".