10364720760 has 96 divisors (see below), whose sum is σ = 33791977440. Its totient is φ = 2755176192.

The previous prime is 10364720683. The next prime is 10364720767. The reversal of 10364720760 is 6702746301.

10364720760 is a `hidden beast` number, since 1 + 0 + 3 + 647 + 2 + 0 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10364720767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68709 + ... + 159531.

It is an arithmetic number, because the mean of its divisors is an integer number (351999765).

Almost surely, 2^10364720760 is an apocalyptic number.

10364720760 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 10364720760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895988720).

10364720760 is an abundant number, since it is smaller than the sum of its proper divisors (23427256680).

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

10364720760 is a wasteful number, since it uses less digits than its factorization.

10364720760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91157 (or 91150 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 10364720760 in words is "ten billion, three hundred sixty-four million, seven hundred twenty thousand, seven hundred sixty".