666101462400 has 288 divisors, whose sum is σ = 2592876868920. Its totient is φ = 161479065600.

The previous prime is 666101462363. The next prime is 666101462417. The reversal of 666101462400 is 4264101666.

666101462400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×666101462400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 734497 + ... + 1368096.

Almost surely, 2^666101462400 is an apocalyptic number.

666101462400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

666101462400 is an abundant number, since it is smaller than the sum of its proper divisors (1926775406520).

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

666101462400 is a wasteful number, since it uses less digits than its factorization.

666101462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102634 (or 2102614 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 666101462400 in words is "six hundred sixty-six billion, one hundred one million, four hundred sixty-two thousand, four hundred".