6516045600 has 144 divisors (see below), whose sum is σ = 22457500128. Its totient is φ = 1635389440.

The previous prime is 6516045593. The next prime is 6516045607. The reversal of 6516045600 is 65406156.

It is an interprime number because it is at equal distance from previous prime (6516045593) and next prime (6516045607).

It is a super-2 number, since 2×6516045600² = 84917700522558720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6516045607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39054 + ... + 120653.

It is an arithmetic number, because the mean of its divisors is an integer number (155954862).

Almost surely, 2^6516045600 is an apocalyptic number.

6516045600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6516045600 is an abundant number, since it is smaller than the sum of its proper divisors (15941454528).

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

6516045600 is a wasteful number, since it uses less digits than its factorization.

6516045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159747 (or 159734 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 6516045600 is about 80722.0267337237. The cubic root of 6516045600 is about 1867.7899673218.

The spelling of 6516045600 in words is "six billion, five hundred sixteen million, forty-five thousand, six hundred".