6161763960 has 320 divisors, whose sum is σ = 22876318080. Its totient is φ = 1475055360.

The previous prime is 6161763929. The next prime is 6161763961. The reversal of 6161763960 is 693671616.

6161763960 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 7 + 639 + 6 + 0 = 666.

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 (6161763961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2957079 + ... + 2959161.

It is an arithmetic number, because the mean of its divisors is an integer number (71488494).

Almost surely, 2^6161763960 is an apocalyptic number.

6161763960 is a gapful number since it is divisible by the number (60) 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 6161763960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11438159040).

6161763960 is an abundant number, since it is smaller than the sum of its proper divisors (16714554120).

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

6161763960 is a wasteful number, since it uses less digits than its factorization.

6161763960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 6161763960 is about 78496.9041427750. The cubic root of 6161763960 is about 1833.3062509131.

The spelling of 6161763960 in words is "six billion, one hundred sixty-one million, seven hundred sixty-three thousand, nine hundred sixty".