10272632832 has 702 divisors, whose sum is σ = 38747885904. Its totient is φ = 2611445760.

The previous prime is 10272632827. The next prime is 10272632873. The reversal of 10272632832 is 23823627201.

10272632832 is a `hidden beast` number, since 10 + 2 + 7 + 2 + 632 + 8 + 3 + 2 = 666.

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 218566633 + ... + 218566679.

Almost surely, 2^10272632832 is an apocalyptic number.

10272632832 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 10272632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373942952).

10272632832 is an abundant number, since it is smaller than the sum of its proper divisors (28475253072).

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

10272632832 is a wasteful number, since it uses less digits than its factorization.

10272632832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10272632832 in words is "ten billion, two hundred seventy-two million, six hundred thirty-two thousand, eight hundred thirty-two".