10774743984 has 240 divisors, whose sum is σ = 32764093440. Its totient is φ = 3388573440.

The previous prime is 10774743983. The next prime is 10774744027. The reversal of 10774743984 is 48934747701.

10774743984 is a `hidden beast` number, since 10 + 77 + 474 + 3 + 98 + 4 = 666.

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 10774743984.

It is not an unprimeable number, because it can be changed into a prime (10774743983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17075349 + ... + 17075979.

It is an arithmetic number, because the mean of its divisors is an integer number (136517056).

Almost surely, 2^10774743984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10774743984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382046720).

10774743984 is an abundant number, since it is smaller than the sum of its proper divisors (21989349456).

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

10774743984 is a wasteful number, since it uses less digits than its factorization.

10774743984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 10774743984 in words is "ten billion, seven hundred seventy-four million, seven hundred forty-three thousand, nine hundred eighty-four".