5436902016 has 576 divisors, whose sum is σ = 20316441600. Its totient is φ = 1381847040.

The previous prime is 5436902011. The next prime is 5436902027. The reversal of 5436902016 is 6102096345.

It is a happy number.

5436902016 is a `hidden beast` number, since 543 + 6 + 90 + 20 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (5436902011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22748425 + ... + 22748663.

It is an arithmetic number, because the mean of its divisors is an integer number (35271600).

Almost surely, 2^5436902016 is an apocalyptic number.

5436902016 is a gapful number since it is divisible by the number (56) 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 5436902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10158220800).

5436902016 is an abundant number, since it is smaller than the sum of its proper divisors (14879539584).

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

5436902016 is a wasteful number, since it uses less digits than its factorization.

5436902016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5436902016 is about 73735.3511960172. The cubic root of 5436902016 is about 1758.3979498806.

The spelling of 5436902016 in words is "five billion, four hundred thirty-six million, nine hundred two thousand, sixteen".