10021264704 has 224 divisors, whose sum is σ = 33009840000. Its totient is φ = 2954465280.

The previous prime is 10021264699. The next prime is 10021264709. The reversal of 10021264704 is 40746212001.

10021264704 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 12 + 647 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10021264699) and next prime (10021264709).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021264709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696172 + ... + 710420.

Almost surely, 2^10021264704 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 10021264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16504920000).

10021264704 is an abundant number, since it is smaller than the sum of its proper divisors (22988575296).

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

10021264704 is a wasteful number, since it uses less digits than its factorization.

10021264704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14318 (or 14302 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 10021264704 its reverse (40746212001), we get a palindrome (50767476705).

The spelling of 10021264704 in words is "ten billion, twenty-one million, two hundred sixty-four thousand, seven hundred four".