4961165760 has 504 divisors, whose sum is σ = 18897081840. Its totient is φ = 1236197376.

The previous prime is 4961165747. The next prime is 4961165761. The reversal of 4961165760 is 675611694.

4961165760 is a `hidden beast` number, since 4 + 9 + 61 + 16 + 576 + 0 = 666.

It is a super-2 number, since 2×4961165760² = 49226331396392755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4961165761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35691771 + ... + 35691909.

It is an arithmetic number, because the mean of its divisors is an integer number (37494210).

Almost surely, 2^4961165760 is an apocalyptic number.

4961165760 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 4961165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9448540920).

4961165760 is an abundant number, since it is smaller than the sum of its proper divisors (13935916080).

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

4961165760 is an equidigital number, since it uses as much as digits as its factorization.

4961165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 4961165760 is about 70435.5433002401. The cubic root of 4961165760 is about 1705.5373944920.

The spelling of 4961165760 in words is "four billion, nine hundred sixty-one million, one hundred sixty-five thousand, seven hundred sixty".