64824959934 has 192 divisors, whose sum is σ = 173835590400. Its totient is φ = 17833023936.

The previous prime is 64824959933. The next prime is 64824959957. The reversal of 64824959934 is 43995942846.

64824959934 is a `hidden beast` number, since 6 + 4 + 8 + 2 + 4 + 9 + 599 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64824959933) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33992209 + ... + 33994115.

It is an arithmetic number, because the mean of its divisors is an integer number (905393700).

Almost surely, 2^64824959934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64824959934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86917795200).

64824959934 is an abundant number, since it is smaller than the sum of its proper divisors (109010630466).

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

64824959934 is a wasteful number, since it uses less digits than its factorization.

64824959934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2391 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 64824959934 in words is "sixty-four billion, eight hundred twenty-four million, nine hundred fifty-nine thousand, nine hundred thirty-four".