10284422764 has 144 divisors (see below), whose sum is σ = 23504253696. Its totient is φ = 3822249600.

The previous prime is 10284422693. The next prime is 10284422777. The reversal of 10284422764 is 46722448201.

It is a super-3 number, since 3×10284422764³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78506979 + ... + 78507109.

It is an arithmetic number, because the mean of its divisors is an integer number (163223984).

Almost surely, 2^10284422764 is an apocalyptic number.

10284422764 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 10284422764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11752126848).

10284422764 is an abundant number, since it is smaller than the sum of its proper divisors (13219830932).

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

10284422764 is a wasteful number, since it uses less digits than its factorization.

10284422764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 10284422764 in words is "ten billion, two hundred eighty-four million, four hundred twenty-two thousand, seven hundred sixty-four".