673456896 has 288 divisors, whose sum is σ = 2354688000. Its totient is φ = 185794560.

The previous prime is 673456877. The next prime is 673456913. The reversal of 673456896 is 698654376.

673456896 is a `hidden beast` number, since 6 + 73 + 4 + 568 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499680 + ... + 1500128.

It is an arithmetic number, because the mean of its divisors is an integer number (8176000).

Almost surely, 2^673456896 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 673456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177344000).

673456896 is an abundant number, since it is smaller than the sum of its proper divisors (1681231104).

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

673456896 is a wasteful number, since it uses less digits than its factorization.

673456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 492 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 673456896 is about 25951.0480713207. The cubic root of 673456896 is about 876.5363575892.

The spelling of 673456896 in words is "six hundred seventy-three million, four hundred fifty-six thousand, eight hundred ninety-six".