35799128064 has 240 divisors, whose sum is σ = 122208886800. Its totient is φ = 10227990528.

The previous prime is 35799128063. The next prime is 35799128077. The reversal of 35799128064 is 46082199753.

35799128064 is a `hidden beast` number, since 3 + 579 + 9 + 1 + 2 + 8 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 35799128064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35799128063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1145802 + ... + 1176630.

It is an arithmetic number, because the mean of its divisors is an integer number (509203695).

It is a 1-persistent number, because it is pandigital, but 2⋅35799128064 = 71598256128 is not.

Almost surely, 2^35799128064 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 35799128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61104443400).

35799128064 is an abundant number, since it is smaller than the sum of its proper divisors (86409758736).

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

35799128064 is an equidigital number, since it uses as much as digits as its factorization.

35799128064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30870 (or 30841 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 35799128064 in words is "thirty-five billion, seven hundred ninety-nine million, one hundred twenty-eight thousand, sixty-four".