670984870800 has 240 divisors, whose sum is σ = 2276406959360. Its totient is φ = 168471083520.

The previous prime is 670984870793. The next prime is 670984870817. The reversal of 670984870800 is 8078489076.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 3626127 + ... + 3806673.

Almost surely, 2^670984870800 is an apocalyptic number.

670984870800 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 670984870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138203479680).

670984870800 is an abundant number, since it is smaller than the sum of its proper divisors (1605422088560).

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

670984870800 is a wasteful number, since it uses less digits than its factorization.

670984870800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180750 (or 180739 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 670984870800 in words is "six hundred seventy billion, nine hundred eighty-four million, eight hundred seventy thousand, eight hundred".