10734969960 has 768 divisors, whose sum is σ = 43436736000. Its totient is φ = 2341785600.

The previous prime is 10734969913. The next prime is 10734969977. The reversal of 10734969960 is 6996943701.

10734969960 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 496 + 99 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10734969897 and 10734969906.

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 191 ways as a sum of consecutive naturals, for example, 120617596 + ... + 120617684.

It is an arithmetic number, because the mean of its divisors is an integer number (56558250).

Almost surely, 2^10734969960 is an apocalyptic number.

10734969960 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 10734969960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718368000).

10734969960 is an abundant number, since it is smaller than the sum of its proper divisors (32701766040).

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

10734969960 is a wasteful number, since it uses less digits than its factorization.

10734969960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 10734969960 in words is "ten billion, seven hundred thirty-four million, nine hundred sixty-nine thousand, nine hundred sixty".