10673725400 has 192 divisors, whose sum is σ = 28784095200. Its totient is φ = 3645480960.

The previous prime is 10673725343. The next prime is 10673725423. The reversal of 10673725400 is 452737601.

It is a super-2 number, since 2×10673725400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2605754 + ... + 2609846.

Almost surely, 2^10673725400 is an apocalyptic number.

10673725400 is a gapful number since it is divisible by the number (10) 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 10673725400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14392047600).

10673725400 is an abundant number, since it is smaller than the sum of its proper divisors (18110369800).

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

10673725400 is a wasteful number, since it uses less digits than its factorization.

10673725400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 10673725400 in words is "ten billion, six hundred seventy-three million, seven hundred twenty-five thousand, four hundred".