436064669074944 has 4480 divisors, whose sum is σ = 1777366561259520. Its totient is φ = 103614839193600.

The previous prime is 436064669074919. The next prime is 436064669074949. The reversal of 436064669074944 is 449470966460634.

436064669074944 is a `hidden beast` number, since 4 + 3 + 6 + 0 + 6 + 46 + 6 + 90 + 7 + 494 + 4 = 666.

It is a super-2 number, since 2×436064669074944² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (436064669074949) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1420406088039 + ... + 1420406088345.

It is an arithmetic number, because the mean of its divisors is an integer number (396733607424).

Almost surely, 2^{436064669074944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 436064669074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888683280629760).

436064669074944 is an abundant number, since it is smaller than the sum of its proper divisors (1341301892184576).

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

436064669074944 is a wasteful number, since it uses less digits than its factorization.

436064669074944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 72.

The spelling of 436064669074944 in words is "four hundred thirty-six trillion, sixty-four billion, six hundred sixty-nine million, seventy-four thousand, nine hundred forty-four".