10368368640 has 720 divisors, whose sum is σ = 42937876800. Its totient is φ = 2312110080.

The previous prime is 10368368639. The next prime is 10368368669. The reversal of 10368368640 is 4686386301.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252887020 + ... + 252887060.

It is an arithmetic number, because the mean of its divisors is an integer number (59635940).

Almost surely, 2^10368368640 is an apocalyptic number.

10368368640 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 10368368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21468938400).

10368368640 is an abundant number, since it is smaller than the sum of its proper divisors (32569508160).

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

10368368640 is an frugal number, since it uses more digits than its factorization.

10368368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10368368640 in words is "ten billion, three hundred sixty-eight million, three hundred sixty-eight thousand, six hundred forty".