8251787264 has 192 divisors, whose sum is σ = 19648137600. Its totient is φ = 3391488000.

The previous prime is 8251787263. The next prime is 8251787287. The reversal of 8251787264 is 4627871528.

It is not an unprimeable number, because it can be changed into a prime (8251787263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59365307 + ... + 59365445.

It is an arithmetic number, because the mean of its divisors is an integer number (102334050).

Almost surely, 2^8251787264 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 8251787264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9824068800).

8251787264 is an abundant number, since it is smaller than the sum of its proper divisors (11396350336).

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

8251787264 is a wasteful number, since it uses less digits than its factorization.

8251787264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 50.

The square root of 8251787264 is about 90839.3486546442. The cubic root of 8251787264 is about 2020.7659141756.

The spelling of 8251787264 in words is "eight billion, two hundred fifty-one million, seven hundred eighty-seven thousand, two hundred sixty-four".