5408432640 has 480 divisors, whose sum is σ = 20847594240. Its totient is φ = 1328431104.

The previous prime is 5408432611. The next prime is 5408432663. The reversal of 5408432640 is 462348045.

5408432640 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 4 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5408432640² = 58502287242834739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5408432595 and 5408432604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11681049 + ... + 11681511.

It is an arithmetic number, because the mean of its divisors is an integer number (43432488).

Almost surely, 2^5408432640 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 5408432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10423797120).

5408432640 is an abundant number, since it is smaller than the sum of its proper divisors (15439161600).

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

5408432640 is a wasteful number, since it uses less digits than its factorization.

5408432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 5408432640 is about 73542.0467487817. The cubic root of 5408432640 is about 1755.3233971934.

The spelling of 5408432640 in words is "five billion, four hundred eight million, four hundred thirty-two thousand, six hundred forty".