6024122464 has 96 divisors (see below), whose sum is σ = 12673402560. Its totient is φ = 2812372992.

The previous prime is 6024122417. The next prime is 6024122471. The reversal of 6024122464 is 4642214206.

It is a happy number.

It is a super-2 number, since 2×6024122464² = 72580102922538862592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15173914 + ... + 15174310.

It is an arithmetic number, because the mean of its divisors is an integer number (132014610).

Almost surely, 2^6024122464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6024122464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336701280).

6024122464 is an abundant number, since it is smaller than the sum of its proper divisors (6649280096).

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

6024122464 is a wasteful number, since it uses less digits than its factorization.

6024122464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 6024122464 is about 77615.2205691641. The cubic root of 6024122464 is about 1819.5525269515.

The spelling of 6024122464 in words is "six billion, twenty-four million, one hundred twenty-two thousand, four hundred sixty-four".