670697164800 has 1872 divisors, whose sum is σ = 2844910570320. Its totient is φ = 149484994560.

The previous prime is 670697164799. The next prime is 670697164867. The reversal of 670697164800 is 8461796076.

It is a happy number.

670697164800 is a `hidden beast` number, since 6 + 70 + 6 + 97 + 1 + 6 + 480 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 420152868864 + 250544295936 = 648192^2 + 500544^2 .

It is a tau number, because it is divible by the number of its divisors (1872).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7535923156 + ... + 7535923244.

It is an arithmetic number, because the mean of its divisors is an integer number (1519717185).

Almost surely, 2^670697164800 is an apocalyptic number.

670697164800 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 670697164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422455285160).

670697164800 is an abundant number, since it is smaller than the sum of its proper divisors (2174213405520).

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

670697164800 is a wasteful number, since it uses less digits than its factorization.

670697164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 670697164800 in words is "six hundred seventy billion, six hundred ninety-seven million, one hundred sixty-four thousand, eight hundred".