670310400000 has 408 divisors, whose sum is σ = 2236255807968. Its totient is φ = 178585600000.

The previous prime is 670310399971. The next prime is 670310400037. The reversal of 670310400000 is 4013076.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 670310400000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614399455 + ... + 614400545.

Almost surely, 2^670310400000 is an apocalyptic number.

670310400000 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 670310400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118127903984).

670310400000 is an abundant number, since it is smaller than the sum of its proper divisors (1565945407968).

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

670310400000 is an frugal number, since it uses more digits than its factorization.

670310400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 670310400000 its reverse (4013076), we get a palindrome (670314413076).

The spelling of 670310400000 in words is "six hundred seventy billion, three hundred ten million, four hundred thousand".