10368724460304 has 320 divisors, whose sum is σ = 33407321794560. Its totient is φ = 2705124003840.

The previous prime is 10368724460257. The next prime is 10368724460329. The reversal of 10368724460304 is 40306442786301.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 21486114 + ... + 21963390.

It is an arithmetic number, because the mean of its divisors is an integer number (104397880608).

Almost surely, 2^{10368724460304} is an apocalyptic number.

10368724460304 is a gapful number since it is divisible by the number (14) 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 10368724460304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16703660897280).

10368724460304 is an abundant number, since it is smaller than the sum of its proper divisors (23038597334256).

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

10368724460304 is a wasteful number, since it uses less digits than its factorization.

10368724460304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477438 (or 477432 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 10368724460304 in words is "ten trillion, three hundred sixty-eight billion, seven hundred twenty-four million, four hundred sixty thousand, three hundred four".