6672117600 has 432 divisors, whose sum is σ = 24568427520. Its totient is φ = 1701964800.

The previous prime is 6672117589. The next prime is 6672117607. The reversal of 6672117600 is 67112766.

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 (6672117607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37274311 + ... + 37274489.

It is an arithmetic number, because the mean of its divisors is an integer number (56871360).

Almost surely, 2^6672117600 is an apocalyptic number.

6672117600 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 6672117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12284213760).

6672117600 is an abundant number, since it is smaller than the sum of its proper divisors (17896309920).

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

6672117600 is a wasteful number, since it uses less digits than its factorization.

6672117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 6672117600 is about 81683.0312855736. The cubic root of 6672117600 is about 1882.5848704878.

The spelling of 6672117600 in words is "six billion, six hundred seventy-two million, one hundred seventeen thousand, six hundred".