670465036800 has 960 divisors, whose sum is σ = 2685203136000. Its totient is φ = 162862202880.

The previous prime is 670465036763. The next prime is 670465036819. The reversal of 670465036800 is 8630564076.

670465036800 is a `hidden beast` number, since 67 + 0 + 4 + 6 + 503 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354930256 + ... + 354932144.

It is an arithmetic number, because the mean of its divisors is an integer number (2797086600).

Almost surely, 2^670465036800 is an apocalyptic number.

670465036800 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 670465036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342601568000).

670465036800 is an abundant number, since it is smaller than the sum of its proper divisors (2014738099200).

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

670465036800 is a wasteful number, since it uses less digits than its factorization.

670465036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 670465036800 in words is "six hundred seventy billion, four hundred sixty-five million, thirty-six thousand, eight hundred".