64818328633344 has 760 divisors, whose sum is σ = 227520710591328. Its totient is φ = 18130151669760.

The previous prime is 64818328633343. The next prime is 64818328633351. The reversal of 64818328633344 is 44333682381846.

64818328633344 is a `hidden beast` number, since 6 + 4 + 8 + 1 + 8 + 3 + 286 + 3 + 3 + 344 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64818328633343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3036403279 + ... + 3036424625.

Almost surely, 2^{64818328633344} is an apocalyptic number.

64818328633344 is a gapful number since it is divisible by the number (64) 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 64818328633344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113760355295664).

64818328633344 is an abundant number, since it is smaller than the sum of its proper divisors (162702381957984).

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

64818328633344 is an equidigital number, since it uses as much as digits as its factorization.

64818328633344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21419 (or 21376 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 63.

The spelling of 64818328633344 in words is "sixty-four trillion, eight hundred eighteen billion, three hundred twenty-eight million, six hundred thirty-three thousand, three hundred forty-four".