6023564400 has 120 divisors (see below), whose sum is σ = 22052013184. Its totient is φ = 1376812800.

The previous prime is 6023564387. The next prime is 6023564441. The reversal of 6023564400 is 44653206.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350146 + ... + 366945.

Almost surely, 2^6023564400 is an apocalyptic number.

6023564400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6023564400 is an abundant number, since it is smaller than the sum of its proper divisors (16028448784).

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

6023564400 is a wasteful number, since it uses less digits than its factorization.

6023564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717119 (or 717108 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 6023564400 is about 77611.6254178457. The cubic root of 6023564400 is about 1819.4963385121.

The spelling of 6023564400 in words is "six billion, twenty-three million, five hundred sixty-four thousand, four hundred".