5409016704 has 672 divisors, whose sum is σ = 20401938000. Its totient is φ = 1426553856.

The previous prime is 5409016703. The next prime is 5409016709. The reversal of 5409016704 is 4076109045.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (672).

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 (5409016703) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 416078202 + ... + 416078214.

Almost surely, 2^5409016704 is an apocalyptic number.

5409016704 is a gapful number since it is divisible by the number (54) 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 5409016704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10200969000).

5409016704 is an abundant number, since it is smaller than the sum of its proper divisors (14992921296).

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

5409016704 is an frugal number, since it uses more digits than its factorization.

5409016704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5409016704 is about 73546.0175944286. The cubic root of 5409016704 is about 1755.3865815064.

The spelling of 5409016704 in words is "five billion, four hundred nine million, sixteen thousand, seven hundred four".