673752257376 has 192 divisors, whose sum is σ = 2043566703360. Its totient is φ = 192092405760.

The previous prime is 673752257351. The next prime is 673752257441.

673752257376 is nontrivially palindromic in base 10.

673752257376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83598435 + ... + 83606493.

It is an arithmetic number, because the mean of its divisors is an integer number (10643576580).

Almost surely, 2^673752257376 is an apocalyptic number.

673752257376 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 673752257376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021783351680).

673752257376 is an abundant number, since it is smaller than the sum of its proper divisors (1369814445984).

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

673752257376 is a wasteful number, since it uses less digits than its factorization.

673752257376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12757 (or 12749 counting only the distinct ones).

The product of its digits is 77792400, while the sum is 60.

The spelling of 673752257376 in words is "six hundred seventy-three billion, seven hundred fifty-two million, two hundred fifty-seven thousand, three hundred seventy-six".