10730238624 has 72 divisors (see below), whose sum is σ = 34873282080. Its totient is φ = 3065781888.

The previous prime is 10730238601. The next prime is 10730238637. The reversal of 10730238624 is 42683203701.

It is a happy number.

10730238624 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 0 + 23 + 8 + 624 = 666.

10730238624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 2659254 + ... + 2663285.

It is an arithmetic number, because the mean of its divisors is an integer number (484351140).

Almost surely, 2^10730238624 is an apocalyptic number.

10730238624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10730238624 is an abundant number, since it is smaller than the sum of its proper divisors (24143043456).

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

10730238624 is a wasteful number, since it uses less digits than its factorization.

10730238624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322562 (or 5322551 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10730238624 in words is "ten billion, seven hundred thirty million, two hundred thirty-eight thousand, six hundred twenty-four".