16436369664 has 720 divisors, whose sum is σ = 60331227264. Its totient is φ = 4379443200.

The previous prime is 16436369627. The next prime is 16436369689. The reversal of 16436369664 is 46696363461.

16436369664 is a `hidden beast` number, since 164 + 363 + 69 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16436369664.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68200584 + ... + 68200824.

Almost surely, 2^16436369664 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 16436369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30165613632).

16436369664 is an abundant number, since it is smaller than the sum of its proper divisors (43894857600).

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

16436369664 is a wasteful number, since it uses less digits than its factorization.

16436369664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 16436369664 in words is "sixteen billion, four hundred thirty-six million, three hundred sixty-nine thousand, six hundred sixty-four".