10269631008 has 576 divisors, whose sum is σ = 38957248512. Its totient is φ = 2586608640.

The previous prime is 10269630983. The next prime is 10269631013. The reversal of 10269631008 is 80013696201.

10269631008 is a `hidden beast` number, since 10 + 2 + 6 + 9 + 631 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16274853 + ... + 16275483.

It is an arithmetic number, because the mean of its divisors is an integer number (67634112).

Almost surely, 2^10269631008 is an apocalyptic number.

10269631008 is a gapful number since it is divisible by the number (18) 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 10269631008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19478624256).

10269631008 is an abundant number, since it is smaller than the sum of its proper divisors (28687617504).

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

10269631008 is a wasteful number, since it uses less digits than its factorization.

10269631008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10269631008 in words is "ten billion, two hundred sixty-nine million, six hundred thirty-one thousand, eight".