666792000 has 672 divisors, whose sum is σ = 2884627200. Its totient is φ = 152409600.

The previous prime is 666791999. The next prime is 666792017. The reversal of 666792000 is 297666.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×666792000² = 889223142528000000, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 95255997 + ... + 95256003.

It is an arithmetic number, because the mean of its divisors is an integer number (4292600).

Almost surely, 2^666792000 is an apocalyptic number.

666792000 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 666792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442313600).

666792000 is an abundant number, since it is smaller than the sum of its proper divisors (2217835200).

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

666792000 is an frugal number, since it uses more digits than its factorization.

666792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 666792000 is about 25822.3159302182. The cubic root of 666792000 is about 873.6352056818.

The spelling of 666792000 in words is "six hundred sixty-six million, seven hundred ninety-two thousand".