669081164371200 has 1728 divisors, whose sum is σ = 3020166285875200. Its totient is φ = 141514142515200.

The previous prime is 669081164371183. The next prime is 669081164371223. The reversal of 669081164371200 is 2173461180966.

669081164371200 is a `hidden beast` number, since 6 + 6 + 9 + 0 + 8 + 1 + 1 + 64 + 371 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 987904680 + ... + 988581720.

Almost surely, 2^{669081164371200} is an apocalyptic number.

669081164371200 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 669081164371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510083142937600).

669081164371200 is an abundant number, since it is smaller than the sum of its proper divisors (2351085121504000).

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

669081164371200 is a wasteful number, since it uses less digits than its factorization.

669081164371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677145 (or 677120 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 669081164371200 in words is "six hundred sixty-nine trillion, eighty-one billion, one hundred sixty-four million, three hundred seventy-one thousand, two hundred".