5163634440 has 256 divisors, whose sum is σ = 17975520000. Its totient is φ = 1316818944.

The previous prime is 5163634379. The next prime is 5163634447. The reversal of 5163634440 is 444363615.

5163634440 is a `hidden beast` number, since 5 + 16 + 3 + 634 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×5163634440² = 53326241259908227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5163634395 and 5163634404.

It is not an unprimeable number, because it can be changed into a prime (5163634447) 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, 3538431 + ... + 3539889.

It is an arithmetic number, because the mean of its divisors is an integer number (70216875).

Almost surely, 2^5163634440 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 5163634440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8987760000).

5163634440 is an abundant number, since it is smaller than the sum of its proper divisors (12811885560).

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

5163634440 is a wasteful number, since it uses less digits than its factorization.

5163634440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5163634440 is about 71858.4333255325. The cubic root of 5163634440 is about 1728.4301350126.

The spelling of 5163634440 in words is "five billion, one hundred sixty-three million, six hundred thirty-four thousand, four hundred forty".