6013438920 has 128 divisors (see below), whose sum is σ = 20298816000. Its totient is φ = 1583262720.

The previous prime is 6013438919. The next prime is 6013438939. The reversal of 6013438920 is 298343106.

6013438920 is a `hidden beast` number, since 601 + 3 + 43 + 8 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×6013438920² = 72322895289141532800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 50080 + ... + 120560.

It is an arithmetic number, because the mean of its divisors is an integer number (158584500).

Almost surely, 2^6013438920 is an apocalyptic number.

6013438920 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 6013438920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10149408000).

6013438920 is an abundant number, since it is smaller than the sum of its proper divisors (14285377080).

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

6013438920 is a wasteful number, since it uses less digits than its factorization.

6013438920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70580 (or 70570 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6013438920 is about 77546.3662591614. The cubic root of 6013438920 is about 1818.4762555373.

The spelling of 6013438920 in words is "six billion, thirteen million, four hundred thirty-eight thousand, nine hundred twenty".