4936091160 has 768 divisors, whose sum is σ = 20870784000. Its totient is φ = 905748480.

The previous prime is 4936091159. The next prime is 4936091179. The reversal of 4936091160 is 611906394.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45285186 + ... + 45285294.

It is an arithmetic number, because the mean of its divisors is an integer number (27175500).

Almost surely, 2^4936091160 is an apocalyptic number.

4936091160 is a gapful number since it is divisible by the number (40) 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 4936091160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435392000).

4936091160 is an abundant number, since it is smaller than the sum of its proper divisors (15934692840).

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

4936091160 is a wasteful number, since it uses less digits than its factorization.

4936091160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 4936091160 is about 70257.3210420096. The cubic root of 4936091160 is about 1702.6591785376.

The spelling of 4936091160 in words is "four billion, nine hundred thirty-six million, ninety-one thousand, one hundred sixty".