5535766080 has 336 divisors, whose sum is σ = 20636179200. Its totient is φ = 1353977856.

The previous prime is 5535766057. The next prime is 5535766081. The reversal of 5535766080 is 806675355.

5535766080 is a `hidden beast` number, since 5 + 5 + 35 + 7 + 6 + 608 + 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 (5535766081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7450189 + ... + 7450931.

It is an arithmetic number, because the mean of its divisors is an integer number (61417200).

Almost surely, 2^5535766080 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 5535766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10318089600).

5535766080 is an abundant number, since it is smaller than the sum of its proper divisors (15100413120).

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

5535766080 is a wasteful number, since it uses less digits than its factorization.

5535766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5535766080 is about 74402.7289822087. The cubic root of 5535766080 is about 1768.9921678019.

The spelling of 5535766080 in words is "five billion, five hundred thirty-five million, seven hundred sixty-six thousand, eighty".