10246638072 has 256 divisors, whose sum is σ = 31213486080. Its totient is φ = 2766182400.

The previous prime is 10246638071. The next prime is 10246638091. The reversal of 10246638072 is 27083664201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10246638072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10246638071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6538233 + ... + 6539799.

It is an arithmetic number, because the mean of its divisors is an integer number (121927680).

Almost surely, 2^10246638072 is an apocalyptic number.

10246638072 is a gapful number since it is divisible by the number (12) 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 10246638072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15606743040).

10246638072 is an abundant number, since it is smaller than the sum of its proper divisors (20966848008).

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

10246638072 is a wasteful number, since it uses less digits than its factorization.

10246638072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 10246638072 in words is "ten billion, two hundred forty-six million, six hundred thirty-eight thousand, seventy-two".