32854340064 has 768 divisors, whose sum is σ = 117050572800. Its totient is φ = 7997552640.

The previous prime is 32854340053. The next prime is 32854340081. The reversal of 32854340064 is 46004345823.

It is a super-2 number, since 2×32854340064² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 462737149 + ... + 462737219.

It is an arithmetic number, because the mean of its divisors is an integer number (152409600).

Almost surely, 2^32854340064 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 32854340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58525286400).

32854340064 is an abundant number, since it is smaller than the sum of its proper divisors (84196232736).

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

32854340064 is a wasteful number, since it uses less digits than its factorization.

32854340064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

Adding to 32854340064 its reverse (46004345823), we get a palindrome (78858685887).

The spelling of 32854340064 in words is "thirty-two billion, eight hundred fifty-four million, three hundred forty thousand, sixty-four".