35361328464 has 480 divisors, whose sum is σ = 128352618240. Its totient is φ = 9123840000.

The previous prime is 35361328447. The next prime is 35361328517. The reversal of 35361328464 is 46482316353.

35361328464 is a `hidden beast` number, since 3 + 5 + 3 + 613 + 28 + 4 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88182664 + ... + 88183064.

It is an arithmetic number, because the mean of its divisors is an integer number (267401288).

Almost surely, 2^35361328464 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 35361328464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64176309120).

35361328464 is an abundant number, since it is smaller than the sum of its proper divisors (92991289776).

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

35361328464 is a wasteful number, since it uses less digits than its factorization.

35361328464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 665 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 35361328464 in words is "thirty-five billion, three hundred sixty-one million, three hundred twenty-eight thousand, four hundred sixty-four".