661374000 has 480 divisors, whose sum is σ = 2746074240. Its totient is φ = 145152000.

The previous prime is 661373987. The next prime is 661374037. The reversal of 661374000 is 473166.

661374000 is a `hidden beast` number, since 6 + 613 + 7 + 40 + 0 + 0 = 666.

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, 3653910 + ... + 3654090.

It is an arithmetic number, because the mean of its divisors is an integer number (5720988).

Almost surely, 2^661374000 is an apocalyptic number.

661374000 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 661374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373037120).

661374000 is an abundant number, since it is smaller than the sum of its proper divisors (2084700240).

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

661374000 is a wasteful number, since it uses less digits than its factorization.

661374000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 661374000 is about 25717.1926928271. The cubic root of 661374000 is about 871.2625347528.

The spelling of 661374000 in words is "six hundred sixty-one million, three hundred seventy-four thousand".