700661145600 has 1764 divisors, whose sum is σ = 2960931078126. Its totient is φ = 163393044480.

The previous prime is 700661145533. The next prime is 700661145601. The reversal of 700661145600 is 6541166007.

700661145600 is a `hidden beast` number, since 7 + 0 + 0 + 6 + 6 + 1 + 1 + 45 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 389136420864 + 311524724736 = 623808^2 + 558144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (700661145601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 36876902391 + ... + 36876902409.

Almost surely, 2^700661145600 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 700661145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480465539063).

700661145600 is an abundant number, since it is smaller than the sum of its proper divisors (2260269932526).

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

700661145600 is an equidigital number, since it uses as much as digits as its factorization.

700661145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 700661145600 in words is "seven hundred billion, six hundred sixty-one million, one hundred forty-five thousand, six hundred".