36435014006664 has 384 divisors, whose sum is σ = 117962514432000. Its totient is φ = 9165047823360.

The previous prime is 36435014006659. The next prime is 36435014006737. The reversal of 36435014006664 is 46660041053463.

It is a happy 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, 227822649 + ... + 227982519.

It is an arithmetic number, because the mean of its divisors is an integer number (307194048000).

Almost surely, 2^{36435014006664} 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 36435014006664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58981257216000).

36435014006664 is an abundant number, since it is smaller than the sum of its proper divisors (81527500425336).

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

36435014006664 is a wasteful number, since it uses less digits than its factorization.

36435014006664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160285 (or 160268 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 36435014006664 in words is "thirty-six trillion, four hundred thirty-five billion, fourteen million, six thousand, six hundred sixty-four".