7257810816 has 512 divisors, whose sum is σ = 24429081600. Its totient is φ = 2108620800.

The previous prime is 7257810811. The next prime is 7257810823. The reversal of 7257810816 is 6180187527.

It is a happy number.

7257810816 is a `hidden beast` number, since 72 + 578 + 1 + 0 + 8 + 1 + 6 = 666.

It is a super-3 number, since 3×7257810816³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7257810811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55403071 + ... + 55403201.

It is an arithmetic number, because the mean of its divisors is an integer number (47713050).

Almost surely, 2^7257810816 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 7257810816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12214540800).

7257810816 is an abundant number, since it is smaller than the sum of its proper divisors (17171270784).

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

7257810816 is a wasteful number, since it uses less digits than its factorization.

7257810816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 7257810816 is about 85192.7861734783. The cubic root of 7257810816 is about 1936.1331215522.

The spelling of 7257810816 in words is "seven billion, two hundred fifty-seven million, eight hundred ten thousand, eight hundred sixteen".