5417480640 has 896 divisors, whose sum is σ = 22285025280. Its totient is φ = 1094860800.

The previous prime is 5417480591. The next prime is 5417480647. The reversal of 5417480640 is 460847145.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5417480647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80857887 + ... + 80857953.

It is an arithmetic number, because the mean of its divisors is an integer number (24871680).

Almost surely, 2^5417480640 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 5417480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142512640).

5417480640 is an abundant number, since it is smaller than the sum of its proper divisors (16867544640).

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

5417480640 is a wasteful number, since it uses less digits than its factorization.

5417480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 5417480640 is about 73603.5368715390. The cubic root of 5417480640 is about 1756.3017038936.

The spelling of 5417480640 in words is "five billion, four hundred seventeen million, four hundred eighty thousand, six hundred forty".