10673363400 has 192 divisors, whose sum is σ = 37907990400. Its totient is φ = 2433576960.

The previous prime is 10673363357. The next prime is 10673363443. The reversal of 10673363400 is 436337601.

10673363400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10673363357) and next prime (10673363443).

It is a super-2 number, since 2×10673363400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1815666 + ... + 1821534.

It is an arithmetic number, because the mean of its divisors is an integer number (197437450).

Almost surely, 2^10673363400 is an apocalyptic number.

10673363400 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 10673363400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18953995200).

10673363400 is an abundant number, since it is smaller than the sum of its proper divisors (27234627000).

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

10673363400 is a wasteful number, since it uses less digits than its factorization.

10673363400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The spelling of 10673363400 in words is "ten billion, six hundred seventy-three million, three hundred sixty-three thousand, four hundred".