10784534400 has 768 divisors, whose sum is σ = 42315148800. Its totient is φ = 2709780480.

The previous prime is 10784534363. The next prime is 10784534419. The reversal of 10784534400 is 443548701.

10784534400 is a `hidden beast` number, since 1 + 0 + 7 + 84 + 534 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160963167 + ... + 160963233.

It is an arithmetic number, because the mean of its divisors is an integer number (55097850).

Almost surely, 2^10784534400 is an apocalyptic number.

10784534400 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 10784534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21157574400).

10784534400 is an abundant number, since it is smaller than the sum of its proper divisors (31530614400).

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

10784534400 is an frugal number, since it uses more digits than its factorization.

10784534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10784534400 in words is "ten billion, seven hundred eighty-four million, five hundred thirty-four thousand, four hundred".