1636364664 has 192 divisors, whose sum is σ = 5228496000. Its totient is φ = 456917760.

The previous prime is 1636364659. The next prime is 1636364669. The reversal of 1636364664 is 4664636361.

1636364664 is a `hidden beast` number, since 1 + 6 + 3 + 636 + 4 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1636364659) and next prime (1636364669).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1636364669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555307 + ... + 558245.

It is an arithmetic number, because the mean of its divisors is an integer number (27231750).

Almost surely, 2^1636364664 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 1636364664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614248000).

1636364664 is an abundant number, since it is smaller than the sum of its proper divisors (3592131336).

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

1636364664 is a wasteful number, since it uses less digits than its factorization.

1636364664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3011 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 1636364664 is about 40452.0044497179. The cubic root of 1636364664 is about 1178.4017104876.

The spelling of 1636364664 in words is "one billion, six hundred thirty-six million, three hundred sixty-four thousand, six hundred sixty-four".