64433345451264 has 216 divisors, whose sum is σ = 188230477180200. Its totient is φ = 21195429249024.

The previous prime is 64433345451203. The next prime is 64433345451281. The reversal of 64433345451264 is 46215454333446.

64433345451264 is a `hidden beast` number, since 6 + 4 + 4 + 3 + 3 + 34 + 545 + 1 + 2 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3162023691264 + 61271321760000 = 1778208^2 + 7827600^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 64433345451264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77584264 + ... + 78410360.

Almost surely, 2^{64433345451264} is an apocalyptic number.

64433345451264 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 64433345451264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94115238590100).

64433345451264 is an abundant number, since it is smaller than the sum of its proper divisors (123797131728936).

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

64433345451264 is a wasteful number, since it uses less digits than its factorization.

64433345451264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826565 (or 826548 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 54.

The spelling of 64433345451264 in words is "sixty-four trillion, four hundred thirty-three billion, three hundred forty-five million, four hundred fifty-one thousand, two hundred sixty-four".