10272075264 has 600 divisors, whose sum is σ = 35560380240. Its totient is φ = 2943959040.

The previous prime is 10272075263. The next prime is 10272075293. The reversal of 10272075264 is 46257027201.

It is a happy number.

10272075264 is a `hidden beast` number, since 102 + 7 + 20 + 7 + 526 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10272075263) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 115416532 + ... + 115416620.

Almost surely, 2^10272075264 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 10272075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17780190120).

10272075264 is an abundant number, since it is smaller than the sum of its proper divisors (25288304976).

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

10272075264 is an equidigital number, since it uses as much as digits as its factorization.

10272075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 10272075264 in words is "ten billion, two hundred seventy-two million, seventy-five thousand, two hundred sixty-four".