10284974784 has 448 divisors, whose sum is σ = 35920558080. Its totient is φ = 2825072640.

The previous prime is 10284974771. The next prime is 10284974809. The reversal of 10284974784 is 48747948201.

10284974784 is a `hidden beast` number, since 1 + 0 + 2 + 84 + 97 + 478 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 10284974784.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39106237 + ... + 39106499.

Almost surely, 2^10284974784 is an apocalyptic number.

10284974784 is a gapful number since it is divisible by the number (14) 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 10284974784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17960279040).

10284974784 is an abundant number, since it is smaller than the sum of its proper divisors (25635583296).

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

10284974784 is a wasteful number, since it uses less digits than its factorization.

10284974784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 10284974784 in words is "ten billion, two hundred eighty-four million, nine hundred seventy-four thousand, seven hundred eighty-four".