7257354516 has 96 divisors (see below), whose sum is σ = 19589472000. Its totient is φ = 2320665984.

The previous prime is 7257354463. The next prime is 7257354523. The reversal of 7257354516 is 6154537527.

It is a happy number.

7257354516 is a `hidden beast` number, since 7 + 25 + 73 + 545 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 484345 + ... + 499103.

It is an arithmetic number, because the mean of its divisors is an integer number (204057000).

Almost surely, 2^7257354516 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 7257354516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9794736000).

7257354516 is an abundant number, since it is smaller than the sum of its proper divisors (12332117484).

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

7257354516 is a wasteful number, since it uses less digits than its factorization.

7257354516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14958 (or 14950 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The square root of 7257354516 is about 85190.1080877352. The cubic root of 7257354516 is about 1936.0925456779.

The spelling of 7257354516 in words is "seven billion, two hundred fifty-seven million, three hundred fifty-four thousand, five hundred sixteen".