670899559680 has 576 divisors, whose sum is σ = 2808671846400. Its totient is φ = 148400087040.

The previous prime is 670899559639. The next prime is 670899559709. The reversal of 670899559680 is 86955998076.

670899559680 is a `hidden beast` number, since 6 + 7 + 0 + 8 + 9 + 9 + 559 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 670899559599 and 670899559608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7454791 + ... + 7544249.

It is an arithmetic number, because the mean of its divisors is an integer number (4876166400).

Almost surely, 2^670899559680 is an apocalyptic number.

670899559680 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 670899559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404335923200).

670899559680 is an abundant number, since it is smaller than the sum of its proper divisors (2137772286720).

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

670899559680 is a wasteful number, since it uses less digits than its factorization.

670899559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89527 (or 89507 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 670899559680 in words is "six hundred seventy billion, eight hundred ninety-nine million, five hundred fifty-nine thousand, six hundred eighty".