5436149760 has 520 divisors, whose sum is σ = 20337597720. Its totient is φ = 1387266048.

The previous prime is 5436149753. The next prime is 5436149777. The reversal of 5436149760 is 679416345.

5436149760 is a `hidden beast` number, since 5 + 43 + 61 + 497 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 5435817984 = 576^2 + 73728^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48107464 + ... + 48107576.

Almost surely, 2^5436149760 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 5436149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10168798860).

5436149760 is an abundant number, since it is smaller than the sum of its proper divisors (14901447960).

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

5436149760 is a wasteful number, since it uses less digits than its factorization.

5436149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5436149760 is about 73730.2499656688. The cubic root of 5436149760 is about 1758.3168481542.

The spelling of 5436149760 in words is "five billion, four hundred thirty-six million, one hundred forty-nine thousand, seven hundred sixty".