10312473600 has 792 divisors, whose sum is σ = 43517287632. Its totient is φ = 2300313600.

The previous prime is 10312473583. The next prime is 10312473601. The reversal of 10312473600 is 637421301.

10312473600 is a `hidden beast` number, since 1 + 0 + 3 + 12 + 47 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×10312473600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312473601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32947044 + ... + 32947356.

Almost surely, 2^10312473600 is an apocalyptic number.

10312473600 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 10312473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21758643816).

10312473600 is an abundant number, since it is smaller than the sum of its proper divisors (33204814032).

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

10312473600 is a wasteful number, since it uses less digits than its factorization.

10312473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 10312473600 its reverse (637421301), we get a palindrome (10949894901).

The spelling of 10312473600 in words is "ten billion, three hundred twelve million, four hundred seventy-three thousand, six hundred".