5541812640 has 960 divisors, whose sum is σ = 24916598784. Its totient is φ = 1128701952.

The previous prime is 5541812621. The next prime is 5541812693. The reversal of 5541812640 is 462181455.

It is a happy number.

5541812640 is a `hidden beast` number, since 5 + 5 + 4 + 1 + 8 + 1 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5541812595 and 5541812604.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 43636257 + ... + 43636383.

Almost surely, 2^5541812640 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 5541812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458299392).

5541812640 is an abundant number, since it is smaller than the sum of its proper divisors (19374786144).

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

5541812640 is a wasteful number, since it uses less digits than its factorization.

5541812640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5541812640 is about 74443.3518858467. The cubic root of 5541812640 is about 1769.6360067372.

The spelling of 5541812640 in words is "five billion, five hundred forty-one million, eight hundred twelve thousand, six hundred forty".