670513633920 has 768 divisors, whose sum is σ = 2565886377600. Its totient is φ = 160320356352.

The previous prime is 670513633913. The next prime is 670513633981. The reversal of 670513633920 is 29336315076.

670513633920 is a `hidden beast` number, since 6 + 7 + 0 + 5 + 1 + 3 + 633 + 9 + 2 + 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 424643691 + ... + 424645269.

Almost surely, 2^670513633920 is an apocalyptic number.

670513633920 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 670513633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282943188800).

670513633920 is an abundant number, since it is smaller than the sum of its proper divisors (1895372743680).

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

670513633920 is a wasteful number, since it uses less digits than its factorization.

670513633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

Adding to 670513633920 its reverse (29336315076), we get a palindrome (699849948996).

The spelling of 670513633920 in words is "six hundred seventy billion, five hundred thirteen million, six hundred thirty-three thousand, nine hundred twenty".