670408704000 has 1088 divisors, whose sum is σ = 2839689914880. Its totient is φ = 152882380800.

The previous prime is 670408703917. The next prime is 670408704061. The reversal of 670408704000 is 407804076.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1548287784 + ... + 1548288216.

Almost surely, 2^670408704000 is an apocalyptic number.

670408704000 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 670408704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419844957440).

670408704000 is an abundant number, since it is smaller than the sum of its proper divisors (2169281210880).

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

670408704000 is an frugal number, since it uses more digits than its factorization.

670408704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 670408704000 in words is "six hundred seventy billion, four hundred eight million, seven hundred four thousand".