670555468800 has 792 divisors, whose sum is σ = 2863350412416. Its totient is φ = 146597806080.

The previous prime is 670555468741. The next prime is 670555468801. The reversal of 670555468800 is 8864555076.

670555468800 is a `hidden beast` number, since 6 + 7 + 0 + 5 + 554 + 6 + 8 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670555468801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37085362 + ... + 37103438.

Almost surely, 2^670555468800 is an apocalyptic number.

670555468800 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 670555468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431675206208).

670555468800 is an abundant number, since it is smaller than the sum of its proper divisors (2192794943616).

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

670555468800 is a wasteful number, since it uses less digits than its factorization.

670555468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18143 (or 18117 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 670555468800 in words is "six hundred seventy billion, five hundred fifty-five million, four hundred sixty-eight thousand, eight hundred".