335336120964 has 384 divisors, whose sum is σ = 985785292800. Its totient is φ = 97867284480.

The previous prime is 335336120929. The next prime is 335336120971. The reversal of 335336120964 is 469021633533.

335336120964 is a `hidden beast` number, since 3 + 3 + 533 + 6 + 1 + 20 + 96 + 4 = 666.

It is a super-2 number, since 2×335336120964² (a number of 24 digits) contains 22 as substring.

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, 778041829 + ... + 778042259.

It is an arithmetic number, because the mean of its divisors is an integer number (2567149200).

Almost surely, 2^335336120964 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 335336120964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492892646400).

335336120964 is an abundant number, since it is smaller than the sum of its proper divisors (650449171836).

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

335336120964 is a wasteful number, since it uses less digits than its factorization.

335336120964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 335336120964 in words is "three hundred thirty-five billion, three hundred thirty-six million, one hundred twenty thousand, nine hundred sixty-four".