5409728640 has 256 divisors, whose sum is σ = 20169072000. Its totient is φ = 1366585344.

The previous prime is 5409728609. The next prime is 5409728647. The reversal of 5409728640 is 468279045.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (5409728647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320082 + ... + 336558.

Almost surely, 2^5409728640 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 5409728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10084536000).

5409728640 is an abundant number, since it is smaller than the sum of its proper divisors (14759343360).

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

5409728640 is a wasteful number, since it uses less digits than its factorization.

5409728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16524 (or 16506 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5409728640 is about 73550.8575068979. The cubic root of 5409728640 is about 1755.4635929205.

The spelling of 5409728640 in words is "five billion, four hundred nine million, seven hundred twenty-eight thousand, six hundred forty".