8257721472 has 1152 divisors, whose sum is σ = 34642137600. Its totient is φ = 1916006400.

The previous prime is 8257721413. The next prime is 8257721557. The reversal of 8257721472 is 2741277528.

8257721472 is a `hidden beast` number, since 8 + 2 + 577 + 2 + 1 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 266378097 + ... + 266378127.

It is an arithmetic number, because the mean of its divisors is an integer number (30071300).

Almost surely, 2^8257721472 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 8257721472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17321068800).

8257721472 is an abundant number, since it is smaller than the sum of its proper divisors (26384416128).

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

8257721472 is a wasteful number, since it uses less digits than its factorization.

8257721472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 67 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 8257721472 is about 90872.0059864423. The cubic root of 8257721472 is about 2021.2502040816.

The spelling of 8257721472 in words is "eight billion, two hundred fifty-seven million, seven hundred twenty-one thousand, four hundred seventy-two".