5541997968 has 360 divisors, whose sum is σ = 18040678656. Its totient is φ = 1637625600.

The previous prime is 5541997961. The next prime is 5541998009. The reversal of 5541997968 is 8697991455.

5541997968 is a `hidden beast` number, since 554 + 1 + 9 + 9 + 79 + 6 + 8 = 666.

It is a super-2 number, since 2×5541997968² = 61427482954632258048, which contains 22 as substring.

Its product of digits (24494400) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (5541997961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42305263 + ... + 42305393.

Almost surely, 2^5541997968 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 5541997968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9020339328).

5541997968 is an abundant number, since it is smaller than the sum of its proper divisors (12498680688).

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

5541997968 is a wasteful number, since it uses less digits than its factorization.

5541997968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 63.

The square root of 5541997968 is about 74444.5966340070. The cubic root of 5541997968 is about 1769.6557331015.

The spelling of 5541997968 in words is "five billion, five hundred forty-one million, nine hundred ninety-seven thousand, nine hundred sixty-eight".