359901809064 has 512 divisors, whose sum is σ = 1205168025600. Its totient is φ = 97387868160.

The previous prime is 359901809021. The next prime is 359901809093. The reversal of 359901809064 is 460908109953.

359901809064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 359901809064.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 303202279 + ... + 303203465.

It is an arithmetic number, because the mean of its divisors is an integer number (2353843800).

Almost surely, 2^359901809064 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 359901809064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602584012800).

359901809064 is an abundant number, since it is smaller than the sum of its proper divisors (845266216536).

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

359901809064 is a wasteful number, since it uses less digits than its factorization.

359901809064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 359901809064 in words is "three hundred fifty-nine billion, nine hundred one million, eight hundred nine thousand, sixty-four".