673958880 has 960 divisors, whose sum is σ = 3161410560. Its totient is φ = 131383296.

The previous prime is 673958837. The next prime is 673958917. The reversal of 673958880 is 88859376.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29302549 + ... + 29302571.

It is an arithmetic number, because the mean of its divisors is an integer number (3293136).

Almost surely, 2^673958880 is an apocalyptic number.

673958880 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 673958880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580705280).

673958880 is an abundant number, since it is smaller than the sum of its proper divisors (2487451680).

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

673958880 is a wasteful number, since it uses less digits than its factorization.

673958880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 673958880 is about 25960.7180178053. The cubic root of 673958880 is about 876.7540888946.

The spelling of 673958880 in words is "six hundred seventy-three million, nine hundred fifty-eight thousand, eight hundred eighty".