27424004580 has 288 divisors, whose sum is σ = 100871447040. Its totient is φ = 5887365120.

The previous prime is 27424004561. The next prime is 27424004593. The reversal of 27424004580 is 8540042472.

27424004580 is a `hidden beast` number, since 2 + 74 + 2 + 4 + 0 + 0 + 4 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13515006 + ... + 13517034.

It is an arithmetic number, because the mean of its divisors is an integer number (350248080).

Almost surely, 2^27424004580 is an apocalyptic number.

27424004580 is a gapful number since it is divisible by the number (20) 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 27424004580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50435723520).

27424004580 is an abundant number, since it is smaller than the sum of its proper divisors (73447442460).

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

27424004580 is a wasteful number, since it uses less digits than its factorization.

27424004580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 27424004580 in words is "twenty-seven billion, four hundred twenty-four million, four thousand, five hundred eighty".