64218340149600 has 2592 divisors, whose sum is σ = 276612415672320. Its totient is φ = 12879139553280.

The previous prime is 64218340149599. The next prime is 64218340149653. The reversal of 64218340149600 is 694104381246.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 64218340149600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 38615958369 + ... + 38615960031.

It is an arithmetic number, because the mean of its divisors is an integer number (106717752960).

Almost surely, 2^{64218340149600} is an apocalyptic number.

64218340149600 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 64218340149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138306207836160).

64218340149600 is an abundant number, since it is smaller than the sum of its proper divisors (212394075522720).

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

64218340149600 is a wasteful number, since it uses less digits than its factorization.

64218340149600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 64218340149600 in words is "sixty-four trillion, two hundred eighteen billion, three hundred forty million, one hundred forty-nine thousand, six hundred".