10749763584 has 448 divisors, whose sum is σ = 37368967680. Its totient is φ = 2990407680.

The previous prime is 10749763573. The next prime is 10749763681. The reversal of 10749763584 is 48536794701.

10749763584 is a `hidden beast` number, since 10 + 7 + 49 + 7 + 6 + 3 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10749763584² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10749763584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82059199 + ... + 82059329.

Almost surely, 2^10749763584 is an apocalyptic number.

10749763584 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 10749763584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18684483840).

10749763584 is an abundant number, since it is smaller than the sum of its proper divisors (26619204096).

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

10749763584 is an equidigital number, since it uses as much as digits as its factorization.

10749763584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 10749763584 in words is "ten billion, seven hundred forty-nine million, seven hundred sixty-three thousand, five hundred eighty-four".