6279548820480 has 1760 divisors, whose sum is σ = 25615987689600. Its totient is φ = 1459347259392.

The previous prime is 6279548820469. The next prime is 6279548820497. The reversal of 6279548820480 is 840288459726.

6279548820480 is a `hidden beast` number, since 6 + 2 + 7 + 9 + 54 + 88 + 20 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 11036113636 + ... + 11036114204.

It is an arithmetic number, because the mean of its divisors is an integer number (14554538460).

Almost surely, 2^{6279548820480} is an apocalyptic number.

6279548820480 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 6279548820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12807993844800).

6279548820480 is an abundant number, since it is smaller than the sum of its proper divisors (19336438869120).

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

6279548820480 is a wasteful number, since it uses less digits than its factorization.

6279548820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 6279548820480 in words is "six trillion, two hundred seventy-nine billion, five hundred forty-eight million, eight hundred twenty thousand, four hundred eighty".