35750566646064 has 120 divisors (see below), whose sum is σ = 105971437840320. Its totient is φ = 11212254111744.

The previous prime is 35750566646051. The next prime is 35750566646107. The reversal of 35750566646064 is 46064666505753.

It is a junction number, because it is equal to n+sod(n) for n = 35750566645992 and 35750566646010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5262169 + ... + 9959495.

It is an arithmetic number, because the mean of its divisors is an integer number (883095315336).

Almost surely, 2^{35750566646064} is an apocalyptic number.

35750566646064 is a gapful number since it is divisible by the number (34) 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 35750566646064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52985718920160).

35750566646064 is an abundant number, since it is smaller than the sum of its proper divisors (70220871194256).

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

35750566646064 is a wasteful number, since it uses less digits than its factorization.

35750566646064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700467 (or 4700458 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 63.

The spelling of 35750566646064 in words is "thirty-five trillion, seven hundred fifty billion, five hundred sixty-six million, six hundred forty-six thousand, sixty-four".