10269628740 has 360 divisors, whose sum is σ = 38198731032. Its totient is φ = 2302110720.

The previous prime is 10269628727. The next prime is 10269628751. The reversal of 10269628740 is 4782696201.

It is a happy number.

10269628740 is a `hidden beast` number, since 10 + 2 + 6 + 9 + 628 + 7 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 411521796 + 9858106944 = 20286^2 + 99288^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 4205920 + ... + 4208360.

Almost surely, 2^10269628740 is an apocalyptic number.

10269628740 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 10269628740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19099365516).

10269628740 is an abundant number, since it is smaller than the sum of its proper divisors (27929102292).

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

10269628740 is a wasteful number, since it uses less digits than its factorization.

10269628740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10269628740 in words is "ten billion, two hundred sixty-nine million, six hundred twenty-eight thousand, seven hundred forty".