666905702400 has 1248 divisors, whose sum is σ = 2966122298880. Its totient is φ = 143398010880.

The previous prime is 666905702321. The next prime is 666905702423. The reversal of 666905702400 is 4207509666.

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

It is a congruent number.

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, 329010187 + ... + 329012213.

It is an arithmetic number, because the mean of its divisors is an integer number (2376700560).

Almost surely, 2^666905702400 is an apocalyptic number.

666905702400 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 666905702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483061149440).

666905702400 is an abundant number, since it is smaller than the sum of its proper divisors (2299216596480).

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

666905702400 is a wasteful number, since it uses less digits than its factorization.

666905702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 666905702400 in words is "six hundred sixty-six billion, nine hundred five million, seven hundred two thousand, four hundred".