6181007616 has 360 divisors, whose sum is σ = 21329221760. Its totient is φ = 1743814656.

The previous prime is 6181007587. The next prime is 6181007617. The reversal of 6181007616 is 6167001816.

It is a super-3 number, since 3×6181007616³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6181007617) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14079525 + ... + 14079963.

Almost surely, 2^6181007616 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 6181007616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10664610880).

6181007616 is an abundant number, since it is smaller than the sum of its proper divisors (15148214144).

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

6181007616 is an equidigital number, since it uses as much as digits as its factorization.

6181007616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 6181007616 is about 78619.3844799106. The cubic root of 6181007616 is about 1835.2127856753.

The spelling of 6181007616 in words is "six billion, one hundred eighty-one million, seven thousand, six hundred sixteen".