6527828160 has 168 divisors, whose sum is σ = 25660660896. Its totient is φ = 1492070400.

The previous prime is 6527828149. The next prime is 6527828179. The reversal of 6527828160 is 618287256.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×6527828160² = 85225080972977971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141741 + ... + 182060.

Almost surely, 2^6527828160 is an apocalyptic number.

6527828160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6527828160 is an abundant number, since it is smaller than the sum of its proper divisors (19132832736).

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

6527828160 is a wasteful number, since it uses less digits than its factorization.

6527828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323831 (or 323818 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6527828160 is about 80794.9760814371. The cubic root of 6527828160 is about 1868.9150922405.

The spelling of 6527828160 in words is "six billion, five hundred twenty-seven million, eight hundred twenty-eight thousand, one hundred sixty".