10706439744 has 672 divisors, whose sum is σ = 42603724800. Its totient is φ = 2480025600.

The previous prime is 10706439743. The next prime is 10706439761. The reversal of 10706439744 is 44793460701.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10706439744² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10706439744.

It is not an unprimeable number, because it can be changed into a prime (10706439743) 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, 17873557 + ... + 17874155.

It is an arithmetic number, because the mean of its divisors is an integer number (63398400).

Almost surely, 2^10706439744 is an apocalyptic number.

10706439744 is a gapful number since it is divisible by the number (14) 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 10706439744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21301862400).

10706439744 is an abundant number, since it is smaller than the sum of its proper divisors (31897285056).

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

10706439744 is a wasteful number, since it uses less digits than its factorization.

10706439744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 10706439744 in words is "ten billion, seven hundred six million, four hundred thirty-nine thousand, seven hundred forty-four".