666850501324800 has 3744 divisors, whose sum is σ = 2771149193100288. Its totient is φ = 151988868218880.

The previous prime is 666850501324771. The next prime is 666850501324871. The reversal of 666850501324800 is 8423105058666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-2 number, since 2×666850501324800² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1978784870232 + ... + 1978784870568.

It is an arithmetic number, because the mean of its divisors is an integer number (740157369952).

Almost surely, 2^{666850501324800} is an apocalyptic number.

666850501324800 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 666850501324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385574596550144).

666850501324800 is an abundant number, since it is smaller than the sum of its proper divisors (2104298691775488).

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

666850501324800 is a wasteful number, since it uses less digits than its factorization.

666850501324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 666850501324800 in words is "six hundred sixty-six trillion, eight hundred fifty billion, five hundred one million, three hundred twenty-four thousand, eight hundred".