660597350400 has 1008 divisors, whose sum is σ = 2684251009440. Its totient is φ = 153944064000.

The previous prime is 660597350351. The next prime is 660597350401. The reversal of 660597350400 is 4053795066.

660597350400 is a `hidden beast` number, since 6 + 6 + 0 + 597 + 3 + 50 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (660597350401) 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, 455269675 + ... + 455271125.

It is an arithmetic number, because the mean of its divisors is an integer number (2662947430).

Almost surely, 2^660597350400 is an apocalyptic number.

660597350400 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 660597350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342125504720).

660597350400 is an abundant number, since it is smaller than the sum of its proper divisors (2023653659040).

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

660597350400 is a wasteful number, since it uses less digits than its factorization.

660597350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 660597350400 in words is "six hundred sixty billion, five hundred ninety-seven million, three hundred fifty thousand, four hundred".