5436640440 has 384 divisors, whose sum is σ = 22791974400. Its totient is φ = 1090575360.

The previous prime is 5436640439. The next prime is 5436640441. The reversal of 5436640440 is 440466345.

5436640440 is a `hidden beast` number, since 5 + 4 + 3 + 6 + 640 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5436640439) and next prime (5436640441).

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 = 5436640395 and 5436640404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5436640441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 800499 + ... + 807261.

It is an arithmetic number, because the mean of its divisors is an integer number (59354100).

Almost surely, 2^5436640440 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 5436640440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11395987200).

5436640440 is an abundant number, since it is smaller than the sum of its proper divisors (17355333960).

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

5436640440 is a wasteful number, since it uses less digits than its factorization.

5436640440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6827 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 5436640440 is about 73733.5774257563. The cubic root of 5436640440 is about 1758.3697498703.

The spelling of 5436640440 in words is "five billion, four hundred thirty-six million, six hundred forty thousand, four hundred forty".