10749433464 has 576 divisors, whose sum is σ = 39541582080. Its totient is φ = 2560896000.

The previous prime is 10749433417. The next prime is 10749433469. The reversal of 10749433464 is 46433494701.

10749433464 is a `hidden beast` number, since 1 + 0 + 74 + 94 + 33 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10749433469) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82056679 + ... + 82056809.

It is an arithmetic number, because the mean of its divisors is an integer number (68648580).

Almost surely, 2^10749433464 is an apocalyptic number.

10749433464 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 10749433464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19770791040).

10749433464 is an abundant number, since it is smaller than the sum of its proper divisors (28792148616).

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

10749433464 is a wasteful number, since it uses less digits than its factorization.

10749433464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 10749433464 in words is "ten billion, seven hundred forty-nine million, four hundred thirty-three thousand, four hundred sixty-four".