4931579842560 has 1040 divisors, whose sum is σ = 20266237728000. Its totient is φ = 1123749199872.

The previous prime is 4931579842559. The next prime is 4931579842583. The reversal of 4931579842560 is 652489751394.

4931579842560 is a `hidden beast` number, since 4 + 9 + 3 + 1 + 579 + 8 + 4 + 2 + 56 + 0 = 666.

It is a super-2 number, since 2×4931579842560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6955683486 + ... + 6955684194.

It is a 1-persistent number, because it is pandigital, but 2⋅4931579842560 = 9863159685120 is not.

Almost surely, 2^{4931579842560} is an apocalyptic number.

4931579842560 is a gapful number since it is divisible by the number (40) 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 4931579842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10133118864000).

4931579842560 is an abundant number, since it is smaller than the sum of its proper divisors (15334657885440).

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

4931579842560 is an equidigital number, since it uses as much as digits as its factorization.

4931579842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 4931579842560 in words is "four trillion, nine hundred thirty-one billion, five hundred seventy-nine million, eight hundred forty-two thousand, five hundred sixty".