10712362320 has 480 divisors, whose sum is σ = 42961000320. Its totient is φ = 2443161600.

The previous prime is 10712362313. The next prime is 10712362327. The reversal of 10712362320 is 2326321701.

10712362320 is a `hidden beast` number, since 1 + 0 + 7 + 12 + 3 + 623 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (10712362313) and next prime (10712362327).

It is a super-2 number, since 2×10712362320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10712362327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4441915 + ... + 4444325.

It is an arithmetic number, because the mean of its divisors is an integer number (89502084).

Almost surely, 2^10712362320 is an apocalyptic number.

10712362320 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 10712362320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21480500160).

10712362320 is an abundant number, since it is smaller than the sum of its proper divisors (32248638000).

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

10712362320 is a wasteful number, since it uses less digits than its factorization.

10712362320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10712362320 in words is "ten billion, seven hundred twelve million, three hundred sixty-two thousand, three hundred twenty".