6527996160 has 288 divisors, whose sum is σ = 24865505280. Its totient is φ = 1427103744.

The previous prime is 6527996129. The next prime is 6527996197. The reversal of 6527996160 is 616997256.

It is a super-2 number, since 2×6527996160² = 85229467729949491200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612961 + ... + 623519.

It is an arithmetic number, because the mean of its divisors is an integer number (86338560).

Almost surely, 2^6527996160 is an apocalyptic number.

6527996160 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 6527996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432752640).

6527996160 is an abundant number, since it is smaller than the sum of its proper divisors (18337509120).

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

6527996160 is a wasteful number, since it uses less digits than its factorization.

6527996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10613 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The square root of 6527996160 is about 80796.0157433521. The cubic root of 6527996160 is about 1868.9311248849.

The spelling of 6527996160 in words is "six billion, five hundred twenty-seven million, nine hundred ninety-six thousand, one hundred sixty".