666732000 has 192 divisors, whose sum is σ = 2383250688. Its totient is φ = 161600000.

The previous prime is 666731977. The next prime is 666732041. The reversal of 666732000 is 237666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129475 + ... + 134525.

It is an arithmetic number, because the mean of its divisors is an integer number (12412764).

Almost surely, 2^666732000 is an apocalyptic number.

666732000 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 666732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191625344).

666732000 is an abundant number, since it is smaller than the sum of its proper divisors (1716518688).

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

666732000 is a wasteful number, since it uses less digits than its factorization.

666732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 666732000 is about 25821.1541182806. The cubic root of 666732000 is about 873.6090007660.

Adding to 666732000 its reverse (237666), we get a palindrome (666969666).

The spelling of 666732000 in words is "six hundred sixty-six million, seven hundred thirty-two thousand".