8025272640 has 560 divisors, whose sum is σ = 35600298624. Its totient is φ = 1667174400.

The previous prime is 8025272617. The next prime is 8025272641. The reversal of 8025272640 is 462725208.

8025272640 is a `hidden beast` number, since 8 + 0 + 2 + 5 + 2 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 8025272595 and 8025272604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8025272641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1993830 + ... + 1997850.

Almost surely, 2^8025272640 is an apocalyptic number.

8025272640 is a gapful number since it is divisible by the number (80) 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 8025272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17800149312).

8025272640 is an abundant number, since it is smaller than the sum of its proper divisors (27575025984).

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

8025272640 is a wasteful number, since it uses less digits than its factorization.

8025272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 8025272640 is about 89583.8860510081. The cubic root of 8025272640 is about 2002.1038394870.

Adding to 8025272640 its reverse (462725208), we get a palindrome (8487997848).

The spelling of 8025272640 in words is "eight billion, twenty-five million, two hundred seventy-two thousand, six hundred forty".