10309074720 has 1152 divisors, whose sum is σ = 44677785600. Its totient is φ = 1975615488.

The previous prime is 10309074649. The next prime is 10309074749. The reversal of 10309074720 is 2747090301.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174730051 + ... + 174730109.

It is an arithmetic number, because the mean of its divisors is an integer number (38782800).

Almost surely, 2^10309074720 is an apocalyptic number.

10309074720 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 10309074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22338892800).

10309074720 is an abundant number, since it is smaller than the sum of its proper divisors (34368710880).

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

10309074720 is a wasteful number, since it uses less digits than its factorization.

10309074720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 10309074720 in words is "ten billion, three hundred nine million, seventy-four thousand, seven hundred twenty".