666211527367200 has 1440 divisors, whose sum is σ = 2544971318410752. Its totient is φ = 169390393344000.

The previous prime is 666211527367189. The next prime is 666211527367201. The reversal of 666211527367200 is 2763725112666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (666211527367201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 188142197430 + ... + 188142200970.

Almost surely, 2^{666211527367200} is an apocalyptic number.

666211527367200 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 666211527367200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272485659205376).

666211527367200 is an abundant number, since it is smaller than the sum of its proper divisors (1878759791043552).

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

666211527367200 is a wasteful number, since it uses less digits than its factorization.

666211527367200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 666211527367200 in words is "six hundred sixty-six trillion, two hundred eleven billion, five hundred twenty-seven million, three hundred sixty-seven thousand, two hundred".