6056124480 has 672 divisors, whose sum is σ = 25585058304. Its totient is φ = 1284636672.

The previous prime is 6056124461. The next prime is 6056124493. The reversal of 6056124480 is 844216506.

6056124480 is a `hidden beast` number, since 6 + 0 + 56 + 124 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 17155984 + ... + 17156336.

Almost surely, 2^6056124480 is an apocalyptic number.

6056124480 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 6056124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792529152).

6056124480 is an abundant number, since it is smaller than the sum of its proper divisors (19528933824).

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

6056124480 is a wasteful number, since it uses less digits than its factorization.

6056124480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6056124480 is about 77821.1056205192. The cubic root of 6056124480 is about 1822.7688483242.

The spelling of 6056124480 in words is "six billion, fifty-six million, one hundred twenty-four thousand, four hundred eighty".