4636996364 has 192 divisors, whose sum is σ = 11652221952. Its totient is φ = 1566766080.

The previous prime is 4636996363. The next prime is 4636996391.

4636996364 = 10885² + 10886² + ... + 10923².

It is a happy number.

4636996364 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4636996363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8235947 + ... + 8236509.

It is an arithmetic number, because the mean of its divisors is an integer number (60688656).

Almost surely, 2^4636996364 is an apocalyptic number.

4636996364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4636996364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826110976).

4636996364 is an abundant number, since it is smaller than the sum of its proper divisors (7015225588).

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

4636996364 is a wasteful number, since it uses less digits than its factorization.

4636996364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 613 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 56.

The square root of 4636996364 is about 68095.4944471365. The cubic root of 4636996364 is about 1667.5502063229.

The spelling of 4636996364 in words is "four billion, six hundred thirty-six million, nine hundred ninety-six thousand, three hundred sixty-four".