5611140864 has 720 divisors, whose sum is σ = 20893931520. Its totient is φ = 1463132160.

The previous prime is 5611140827. The next prime is 5611140869. The reversal of 5611140864 is 4680411165.

5611140864 is a `hidden beast` number, since 561 + 1 + 14 + 0 + 86 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5611140869) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130491627 + ... + 130491669.

Almost surely, 2^5611140864 is an apocalyptic number.

5611140864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5611140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10446965760).

5611140864 is an abundant number, since it is smaller than the sum of its proper divisors (15282790656).

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

5611140864 is a wasteful number, since it uses less digits than its factorization.

5611140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5611140864 is about 74907.5487784776. The cubic root of 5611140864 is about 1776.9848445698.

The spelling of 5611140864 in words is "five billion, six hundred eleven million, one hundred forty thousand, eight hundred sixty-four".