10673400400 has 60 divisors (see below), whose sum is σ = 27615384412. Its totient is φ = 3940945920.

The previous prime is 10673400391. The next prime is 10673400407. The reversal of 10673400400 is 400437601.

It can be written as a sum of positive squares in 6 ways, for example, as 539354176 + 10134046224 = 23224^2 + 100668^2 .

It is a super-2 number, since 2×10673400400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10673400407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1021089 + ... + 1031488.

Almost surely, 2^10673400400 is an apocalyptic number.

10673400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10673400400 is an abundant number, since it is smaller than the sum of its proper divisors (16941984012).

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

10673400400 is a wasteful number, since it uses less digits than its factorization.

10673400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052608 (or 2052597 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The spelling of 10673400400 in words is "ten billion, six hundred seventy-three million, four hundred thousand, four hundred".