10762813440 has 320 divisors, whose sum is σ = 38633668920. Its totient is φ = 2866544640.

The previous prime is 10762813429. The next prime is 10762813447. The reversal of 10762813440 is 4431826701.

10762813440 is a `hidden beast` number, since 10 + 7 + 628 + 13 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10762813395 and 10762813404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10762813447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13270635 + ... + 13271445.

Almost surely, 2^10762813440 is an apocalyptic number.

10762813440 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 10762813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19316834460).

10762813440 is an abundant number, since it is smaller than the sum of its proper divisors (27870855480).

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

10762813440 is an frugal number, since it uses more digits than its factorization.

10762813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10762813440 in words is "ten billion, seven hundred sixty-two million, eight hundred thirteen thousand, four hundred forty".