5409890640 has 480 divisors, whose sum is σ = 23416001280. Its totient is φ = 1123752960.

The previous prime is 5409890621. The next prime is 5409890641. The reversal of 5409890640 is 460989045.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5409890641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1828042 + ... + 1830998.

It is an arithmetic number, because the mean of its divisors is an integer number (48783336).

Almost surely, 2^5409890640 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 5409890640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708000640).

5409890640 is an abundant number, since it is smaller than the sum of its proper divisors (18006110640).

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

5409890640 is a wasteful number, since it uses less digits than its factorization.

5409890640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5409890640 is about 73551.9587774520. The cubic root of 5409890640 is about 1755.4811158120.

The spelling of 5409890640 in words is "five billion, four hundred nine million, eight hundred ninety thousand, six hundred forty".