10026364320 has 216 divisors, whose sum is σ = 39801365604. Its totient is φ = 2291724288.

The previous prime is 10026364289. The next prime is 10026364349. The reversal of 10026364320 is 2346362001.

10026364320 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 636 + 4 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9675476496 + 350887824 = 98364^2 + 18732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489 + ... + 141608.

Almost surely, 2^10026364320 is an apocalyptic number.

10026364320 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 10026364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19900682802).

10026364320 is an abundant number, since it is smaller than the sum of its proper divisors (29775001284).

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

10026364320 is a wasteful number, since it uses less digits than its factorization.

10026364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142132 (or 142114 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 10026364320 in words is "ten billion, twenty-six million, three hundred sixty-four thousand, three hundred twenty".