67527250560 has 768 divisors, whose sum is σ = 301538764800. Its totient is φ = 14029148160.

The previous prime is 67527250559. The next prime is 67527250579. The reversal of 67527250560 is 6505272576.

67527250560 is a `hidden beast` number, since 6 + 75 + 2 + 72 + 505 + 6 + 0 = 666.

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

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, 11972221 + ... + 11977859.

It is an arithmetic number, because the mean of its divisors is an integer number (392628600).

Almost surely, 2^67527250560 is an apocalyptic number.

67527250560 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 67527250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150769382400).

67527250560 is an abundant number, since it is smaller than the sum of its proper divisors (234011514240).

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

67527250560 is a wasteful number, since it uses less digits than its factorization.

67527250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 67527250560 in words is "sixty-seven billion, five hundred twenty-seven million, two hundred fifty thousand, five hundred sixty".