10719834720 has 384 divisors, whose sum is σ = 40284905472. Its totient is φ = 2344550400.

The previous prime is 10719834679. The next prime is 10719834743. The reversal of 10719834720 is 2743891701.

It is a super-2 number, since 2×10719834720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10102990 + ... + 10104050.

It is an arithmetic number, because the mean of its divisors is an integer number (104908608).

Almost surely, 2^10719834720 is an apocalyptic number.

10719834720 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 10719834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20142452736).

10719834720 is an abundant number, since it is smaller than the sum of its proper divisors (29565070752).

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

10719834720 is a wasteful number, since it uses less digits than its factorization.

10719834720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 10719834720 in words is "ten billion, seven hundred nineteen million, eight hundred thirty-four thousand, seven hundred twenty".