10784008440 has 384 divisors, whose sum is σ = 38530252800. Its totient is φ = 2679989760.

The previous prime is 10784008397. The next prime is 10784008441. The reversal of 10784008440 is 4480048701.

It is a happy number.

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 = 10784008395 and 10784008404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10784008441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28156489 + ... + 28156871.

It is an arithmetic number, because the mean of its divisors is an integer number (100339200).

Almost surely, 2^10784008440 is an apocalyptic number.

10784008440 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 10784008440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265126400).

10784008440 is an abundant number, since it is smaller than the sum of its proper divisors (27746244360).

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

10784008440 is a wasteful number, since it uses less digits than its factorization.

10784008440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 10784008440 in words is "ten billion, seven hundred eighty-four million, eight thousand, four hundred forty".