64527840000 has 900 divisors, whose sum is σ = 259607099136. Its totient is φ = 15842304000.

The previous prime is 64527839989. The next prime is 64527840029. The reversal of 64527840000 is 4872546.

64527840000 is a `hidden beast` number, since 645 + 2 + 7 + 8 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

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 99 ways as a sum of consecutive naturals, for example, 168479809 + ... + 168480191.

Almost surely, 2^64527840000 is an apocalyptic number.

64527840000 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 64527840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129803549568).

64527840000 is an abundant number, since it is smaller than the sum of its proper divisors (195079259136).

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

64527840000 is an equidigital number, since it uses as much as digits as its factorization.

64527840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 64527840000 in words is "sixty-four billion, five hundred twenty-seven million, eight hundred forty thousand".