6161647968 has 336 divisors, whose sum is σ = 21054327840. Its totient is φ = 1737842688.

The previous prime is 6161647937. The next prime is 6161647993. The reversal of 6161647968 is 8697461616.

It is a happy number.

6161647968 is a `hidden beast` number, since 6 + 161 + 6 + 479 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15839518 + ... + 15839906.

It is an arithmetic number, because the mean of its divisors is an integer number (62661690).

Almost surely, 2^6161647968 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 6161647968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10527163920).

6161647968 is an abundant number, since it is smaller than the sum of its proper divisors (14892679872).

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

6161647968 is an equidigital number, since it uses as much as digits as its factorization.

6161647968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 498 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 6161647968 is about 78496.1653076123. The cubic root of 6161647968 is about 1833.2947471622.

The spelling of 6161647968 in words is "six billion, one hundred sixty-one million, six hundred forty-seven thousand, nine hundred sixty-eight".