667116477236000 has 288 divisors, whose sum is σ = 1819499432390640. Its totient is φ = 240185932800000.

The previous prime is 667116477235997. The next prime is 667116477236017. The reversal of 667116477236000 is 632774611766.

It can be written as a sum of positive squares in 8 ways, for example, as 204800942913424 + 462315534322576 = 14310868^2 + 21501524^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42060536 + ... + 55707464.

Almost surely, 2^{667116477236000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667116477236000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909749716195320).

667116477236000 is an abundant number, since it is smaller than the sum of its proper divisors (1152382955154640).

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

667116477236000 is a wasteful number, since it uses less digits than its factorization.

667116477236000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13647077 (or 13647048 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 56.

The spelling of 667116477236000 in words is "six hundred sixty-seven trillion, one hundred sixteen billion, four hundred seventy-seven million, two hundred thirty-six thousand".