5348004480 has 1024 divisors, whose sum is σ = 24675840000. Its totient is φ = 1063010304.

The previous prime is 5348004479. The next prime is 5348004481. The reversal of 5348004480 is 844008435.

5348004480 is a `hidden beast` number, since 534 + 8 + 0 + 0 + 44 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5348004479) and next prime (5348004481).

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 (5348004481) 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, 29877031 + ... + 29877209.

It is an arithmetic number, because the mean of its divisors is an integer number (24097500).

Almost surely, 2^5348004480 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 5348004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920000).

5348004480 is an abundant number, since it is smaller than the sum of its proper divisors (19327835520).

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

5348004480 is a wasteful number, since it uses less digits than its factorization.

5348004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5348004480 is about 73130.0518254978. The cubic root of 5348004480 is about 1748.7615161064.

The spelling of 5348004480 in words is "five billion, three hundred forty-eight million, four thousand, four hundred eighty".