673238901504 has 288 divisors, whose sum is σ = 1956629988544. Its totient is φ = 204267847680.

The previous prime is 673238901481. The next prime is 673238901529. The reversal of 673238901504 is 405109832376.

It is a super-2 number, since 2×673238901504² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303123114 + ... + 303125334.

It is a 1-persistent number, because it is pandigital, but 2⋅673238901504 = 1346477803008 is not.

Almost surely, 2^673238901504 is an apocalyptic number.

673238901504 is a gapful number since it is divisible by the number (64) 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 673238901504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978314994272).

673238901504 is an abundant number, since it is smaller than the sum of its proper divisors (1283391087040).

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

673238901504 is a wasteful number, since it uses less digits than its factorization.

673238901504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 673238901504 in words is "six hundred seventy-three billion, two hundred thirty-eight million, nine hundred one thousand, five hundred four".