670082534352000 has 6144 divisors, whose sum is σ = 3317824613376000. Its totient is φ = 125383458816000.

The previous prime is 670082534351963. The next prime is 670082534352059. The reversal of 670082534352000 is 253435280076.

670082534352000 is a `hidden beast` number, since 6 + 7 + 0 + 0 + 8 + 2 + 5 + 3 + 435 + 200 + 0 = 666.

670082534352000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 409335695182 + ... + 409335696818.

It is an arithmetic number, because the mean of its divisors is an integer number (540010516500).

Almost surely, 2^{670082534352000} is an apocalyptic number.

670082534352000 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 670082534352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658912306688000).

670082534352000 is an abundant number, since it is smaller than the sum of its proper divisors (2647742079024000).

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

670082534352000 is a wasteful number, since it uses less digits than its factorization.

670082534352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 670082534352000 in words is "six hundred seventy trillion, eighty-two billion, five hundred thirty-four million, three hundred fifty-two thousand".