64459866240 has 1536 divisors, whose sum is σ = 296956108800. Its totient is φ = 12489523200.

The previous prime is 64459866103. The next prime is 64459866277. The reversal of 64459866240 is 4266895446.

64459866240 is a `hidden beast` number, since 6 + 4 + 4 + 5 + 9 + 8 + 6 + 624 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 724268116 + ... + 724268204.

It is an arithmetic number, because the mean of its divisors is an integer number (193330800).

Almost surely, 2^64459866240 is an apocalyptic number.

64459866240 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 64459866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148478054400).

64459866240 is an abundant number, since it is smaller than the sum of its proper divisors (232496242560).

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

64459866240 is a wasteful number, since it uses less digits than its factorization.

64459866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 64459866240 in words is "sixty-four billion, four hundred fifty-nine million, eight hundred sixty-six thousand, two hundred forty".