6516576000 has 864 divisors, whose sum is σ = 27308788416. Its totient is φ = 1486848000.

The previous prime is 6516575981. The next prime is 6516576029. The reversal of 6516576000 is 6756156.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383327992 + ... + 383328008.

It is an arithmetic number, because the mean of its divisors is an integer number (31607394).

Almost surely, 2^6516576000 is an apocalyptic number.

6516576000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6516576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13654394208).

6516576000 is an abundant number, since it is smaller than the sum of its proper divisors (20792212416).

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

6516576000 is a wasteful number, since it uses less digits than its factorization.

6516576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 6516576000 is about 80725.3120155011. The cubic root of 6516576000 is about 1867.8406447306.

The spelling of 6516576000 in words is "six billion, five hundred sixteen million, five hundred seventy-six thousand".