64234884000 has 576 divisors, whose sum is σ = 253298223360. Its totient is φ = 14172211200.

The previous prime is 64234883957. The next prime is 64234884017. The reversal of 64234884000 is 48843246.

64234884000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64234884000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64234884000.

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, 17050117 + ... + 17053883.

It is an arithmetic number, because the mean of its divisors is an integer number (439753860).

Almost surely, 2^64234884000 is an apocalyptic number.

64234884000 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 64234884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126649111680).

64234884000 is an abundant number, since it is smaller than the sum of its proper divisors (189063339360).

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

64234884000 is a wasteful number, since it uses less digits than its factorization.

64234884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 64234884000 in words is "sixty-four billion, two hundred thirty-four million, eight hundred eighty-four thousand".