6000464400 has 120 divisors (see below), whose sum is σ = 21967445184. Its totient is φ = 1371532800.

The previous prime is 6000464357. The next prime is 6000464401. The reversal of 6000464400 is 44640006.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6000464401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348771 + ... + 365570.

Almost surely, 2^6000464400 is an apocalyptic number.

6000464400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6000464400 is an abundant number, since it is smaller than the sum of its proper divisors (15966980784).

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

6000464400 is a wasteful number, since it uses less digits than its factorization.

6000464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714369 (or 714358 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6000464400 is about 77462.6645552553. The cubic root of 6000464400 is about 1817.1674733339.

The spelling of 6000464400 in words is "six billion, four hundred sixty-four thousand, four hundred".