670576991436800 has 1152 divisors, whose sum is σ = 2003964805543680. Its totient is φ = 221711538585600.

The previous prime is 670576991436799. The next prime is 670576991436811. The reversal of 670576991436800 is 8634199675076.

It is a super-3 number, since 3×670576991436800³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 431794584824 + ... + 431794586376.

It is an arithmetic number, because the mean of its divisors is an integer number (1739552782590).

Almost surely, 2^{670576991436800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670576991436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001982402771840).

670576991436800 is an abundant number, since it is smaller than the sum of its proper divisors (1333387814106880).

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

670576991436800 is a wasteful number, since it uses less digits than its factorization.

670576991436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 71.

The spelling of 670576991436800 in words is "six hundred seventy trillion, five hundred seventy-six billion, nine hundred ninety-one million, four hundred thirty-six thousand, eight hundred".