6001438464 has 648 divisors, whose sum is σ = 22082926320. Its totient is φ = 1556545536.

The previous prime is 6001438451. The next prime is 6001438493. The reversal of 6001438464 is 4648341006.

6001438464 is a `hidden beast` number, since 600 + 1 + 4 + 3 + 8 + 46 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101719267 + ... + 101719325.

It is an arithmetic number, because the mean of its divisors is an integer number (34078590).

Almost surely, 2^6001438464 is an apocalyptic number.

6001438464 is a gapful number since it is divisible by the number (64) 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 6001438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041463160).

6001438464 is an abundant number, since it is smaller than the sum of its proper divisors (16081487856).

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

6001438464 is a wasteful number, since it uses less digits than its factorization.

6001438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6001438464 is about 77468.9516128881. The cubic root of 6001438464 is about 1817.2657958154.

The spelling of 6001438464 in words is "six billion, one million, four hundred thirty-eight thousand, four hundred sixty-four".