670858848000 has 2592 divisors, whose sum is σ = 2963874041856. Its totient is φ = 150543360000.

The previous prime is 670858847993. The next prime is 670858848019. The reversal of 670858848000 is 848858076.

670858848000 is a `hidden beast` number, since 6 + 7 + 0 + 85 + 88 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21640607985 + ... + 21640608015.

Almost surely, 2^670858848000 is an apocalyptic number.

670858848000 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 670858848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481937020928).

670858848000 is an abundant number, since it is smaller than the sum of its proper divisors (2293015193856).

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

670858848000 is a wasteful number, since it uses less digits than its factorization.

670858848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 670858848000 in words is "six hundred seventy billion, eight hundred fifty-eight million, eight hundred forty-eight thousand".