6672362400 has 216 divisors, whose sum is σ = 25667669664. Its totient is φ = 1617523200.

The previous prime is 6672362393. The next prime is 6672362423. The reversal of 6672362400 is 42632766.

It is a happy number.

6672362400 is a `hidden beast` number, since 6 + 6 + 7 + 23 + 624 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37077 + ... + 121323.

It is an arithmetic number, because the mean of its divisors is an integer number (118831804).

Almost surely, 2^6672362400 is an apocalyptic number.

6672362400 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 6672362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833834832).

6672362400 is an abundant number, since it is smaller than the sum of its proper divisors (18995307264).

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

6672362400 is a wasteful number, since it uses less digits than its factorization.

6672362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84284 (or 84268 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6672362400 is about 81684.5297470702. The cubic root of 6672362400 is about 1882.6078942197.

The spelling of 6672362400 in words is "six billion, six hundred seventy-two million, three hundred sixty-two thousand, four hundred".