5436648720 has 280 divisors, whose sum is σ = 19226298456. Its totient is φ = 1428793344.

The previous prime is 5436648697. The next prime is 5436648727. The reversal of 5436648720 is 278466345.

5436648720 is a `hidden beast` number, since 543 + 6 + 6 + 4 + 87 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 967458816 + 4469189904 = 31104^2 + 66852^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5436648727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4256722 + ... + 4257998.

Almost surely, 2^5436648720 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 5436648720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9613149228).

5436648720 is an abundant number, since it is smaller than the sum of its proper divisors (13789649736).

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

5436648720 is a wasteful number, since it uses less digits than its factorization.

5436648720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5436648720 is about 73733.6335738311. The cubic root of 5436648720 is about 1758.3706425352.

The spelling of 5436648720 in words is "five billion, four hundred thirty-six million, six hundred forty-eight thousand, seven hundred twenty".