670340689920 has 832 divisors, whose sum is σ = 2617932718080. Its totient is φ = 161375846400.

The previous prime is 670340689903. The next prime is 670340689951. The reversal of 670340689920 is 29986043076.

It is a happy number.

670340689920 is a `hidden beast` number, since 6 + 70 + 3 + 406 + 89 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1161768672 + ... + 1161769248.

Almost surely, 2^670340689920 is an apocalyptic number.

670340689920 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 670340689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308966359040).

670340689920 is an abundant number, since it is smaller than the sum of its proper divisors (1947592028160).

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

670340689920 is a wasteful number, since it uses less digits than its factorization.

670340689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 670340689920 in words is "six hundred seventy billion, three hundred forty million, six hundred eighty-nine thousand, nine hundred twenty".