10712744640 has 448 divisors, whose sum is σ = 41074360320. Its totient is φ = 2612736000.

The previous prime is 10712744629. The next prime is 10712744659. The reversal of 10712744640 is 4644721701.

It is a happy number.

10712744640 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 2 + 7 + 4 + 4 + 640 = 666.

It is a super-2 number, since 2×10712744640² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10712744595 and 10712744604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14264265 + ... + 14265015.

It is an arithmetic number, because the mean of its divisors is an integer number (91683840).

Almost surely, 2^10712744640 is an apocalyptic number.

10712744640 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 10712744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20537180160).

10712744640 is an abundant number, since it is smaller than the sum of its proper divisors (30361615680).

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

10712744640 is a wasteful number, since it uses less digits than its factorization.

10712744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10712744640 in words is "ten billion, seven hundred twelve million, seven hundred forty-four thousand, six hundred forty".