6664550400 has 360 divisors, whose sum is σ = 24699434760. Its totient is φ = 1776107520.

The previous prime is 6664550393. The next prime is 6664550401. The reversal of 6664550400 is 40554666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6664550401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4146397 + ... + 4148003.

It is an arithmetic number, because the mean of its divisors is an integer number (68609541).

Almost surely, 2^6664550400 is an apocalyptic number.

6664550400 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 6664550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349717380).

6664550400 is an abundant number, since it is smaller than the sum of its proper divisors (18034884360).

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

6664550400 is a wasteful number, since it uses less digits than its factorization.

6664550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6664550400 is about 81636.6976304162. The cubic root of 6664550400 is about 1881.8728883678.

The spelling of 6664550400 in words is "six billion, six hundred sixty-four million, five hundred fifty thousand, four hundred".