673960896576 has 448 divisors, whose sum is σ = 2209114321920. Its totient is φ = 202272422400.

The previous prime is 673960896517. The next prime is 673960896643. The reversal of 673960896576 is 675698069376.

673960896576 is a `hidden beast` number, since 6 + 7 + 3 + 9 + 608 + 9 + 6 + 5 + 7 + 6 = 666.

It is a super-2 number, since 2×673960896576² (a number of 24 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 164740291 + ... + 164744381.

Almost surely, 2^673960896576 is an apocalyptic number.

673960896576 is a gapful number since it is divisible by the number (66) 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 673960896576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104557160960).

673960896576 is an abundant number, since it is smaller than the sum of its proper divisors (1535153425344).

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

673960896576 is a wasteful number, since it uses less digits than its factorization.

673960896576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 673960896576 in words is "six hundred seventy-three billion, nine hundred sixty million, eight hundred ninety-six thousand, five hundred seventy-six".