10673080400 has 30 divisors (see below), whose sum is σ = 25642076622. Its totient is φ = 4269232000.

The previous prime is 10673080367. The next prime is 10673080417. The reversal of 10673080400 is 408037601.

It can be written as a sum of positive squares in 3 ways, for example, as 3696153616 + 6976926784 = 60796^2 + 83528^2 .

It is a super-2 number, since 2×10673080400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 13340951 + ... + 13341750.

Almost surely, 2^10673080400 is an apocalyptic number.

10673080400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10673080400 is an abundant number, since it is smaller than the sum of its proper divisors (14968996222).

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

10673080400 is a wasteful number, since it uses less digits than its factorization.

10673080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26682719 (or 26682708 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 10673080400 in words is "ten billion, six hundred seventy-three million, eighty thousand, four hundred".