5460903360 has 560 divisors, whose sum is σ = 21508882560. Its totient is φ = 1304156160.

The previous prime is 5460903359. The next prime is 5460903367. The reversal of 5460903360 is 633090645.

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 (5460903367) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30507751 + ... + 30507929.

Almost surely, 2^5460903360 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 5460903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10754441280).

5460903360 is an abundant number, since it is smaller than the sum of its proper divisors (16047979200).

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

5460903360 is a wasteful number, since it uses less digits than its factorization.

5460903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 5460903360 is about 73897.9252753418. The cubic root of 5460903360 is about 1760.9816493478.

The spelling of 5460903360 in words is "five billion, four hundred sixty million, nine hundred three thousand, three hundred sixty".