10733763840 has 144 divisors (see below), whose sum is σ = 34345381056. Its totient is φ = 2856960000.

The previous prime is 10733763787. The next prime is 10733763847. The reversal of 10733763840 is 4836733701.

It is a junction number, because it is equal to n+sod(n) for n = 10733763792 and 10733763801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10733763847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2305515 + ... + 2310165.

Almost surely, 2^10733763840 is an apocalyptic number.

10733763840 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 10733763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17172690528).

10733763840 is an abundant number, since it is smaller than the sum of its proper divisors (23611617216).

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

10733763840 is an equidigital number, since it uses as much as digits as its factorization.

10733763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5276 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 10733763840 in words is "ten billion, seven hundred thirty-three million, seven hundred sixty-three thousand, eight hundred forty".