64437834240 has 960 divisors, whose sum is σ = 258277219200. Its totient is φ = 14802518016.

The previous prime is 64437834233. The next prime is 64437834269. The reversal of 64437834240 is 4243873446.

64437834240 is a `hidden beast` number, since 6 + 4 + 4 + 378 + 34 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 961758687 + ... + 961758753.

It is an arithmetic number, because the mean of its divisors is an integer number (269038770).

Almost surely, 2^64437834240 is an apocalyptic number.

64437834240 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 64437834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129138609600).

64437834240 is an abundant number, since it is smaller than the sum of its proper divisors (193839384960).

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

64437834240 is a wasteful number, since it uses less digits than its factorization.

64437834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 64437834240 in words is "sixty-four billion, four hundred thirty-seven million, eight hundred thirty-four thousand, two hundred forty".