6527664000 has 768 divisors, whose sum is σ = 27627687360. Its totient is φ = 1456128000.

The previous prime is 6527663993. The next prime is 6527664041. The reversal of 6527664000 is 4667256.

6527664000 is a `hidden beast` number, since 6 + 5 + 2 + 7 + 6 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×6527664000² = 85220794593792000000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20591842 + ... + 20592158.

Almost surely, 2^6527664000 is an apocalyptic number.

6527664000 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 6527664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13813843680).

6527664000 is an abundant number, since it is smaller than the sum of its proper divisors (21100023360).

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

6527664000 is a wasteful number, since it uses less digits than its factorization.

6527664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6527664000 is about 80793.9601702999. The cubic root of 6527664000 is about 1868.8994257909.

The spelling of 6527664000 in words is "six billion, five hundred twenty-seven million, six hundred sixty-four thousand".