670541542272000 has 2816 divisors, whose sum is σ = 2864533729075200. Its totient is φ = 151536520396800.

The previous prime is 670541542271983. The next prime is 670541542272011. The reversal of 670541542272000 is 272245145076.

670541542272000 is a `hidden beast` number, since 6 + 7 + 0 + 5 + 4 + 15 + 422 + 7 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1086777215692 + ... + 1086777216308.

Almost surely, 2^{670541542272000} is an apocalyptic number.

670541542272000 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 670541542272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432266864537600).

670541542272000 is an abundant number, since it is smaller than the sum of its proper divisors (2193992186803200).

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

670541542272000 is a wasteful number, since it uses less digits than its factorization.

670541542272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 670541542272000 in words is "six hundred seventy trillion, five hundred forty-one billion, five hundred forty-two million, two hundred seventy-two thousand".