6048132480 has 576 divisors, whose sum is σ = 23507593200. Its totient is φ = 1423982592.

The previous prime is 6048132451. The next prime is 6048132523. The reversal of 6048132480 is 842318406.

6048132480 is a `hidden beast` number, since 6 + 0 + 48 + 132 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102510691 + ... + 102510749.

Almost surely, 2^6048132480 is an apocalyptic number.

6048132480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6048132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11753796600).

6048132480 is an abundant number, since it is smaller than the sum of its proper divisors (17459460720).

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

6048132480 is a wasteful number, since it uses less digits than its factorization.

6048132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6048132480 is about 77769.7401307218. The cubic root of 6048132480 is about 1821.9666861800.

The spelling of 6048132480 in words is "six billion, forty-eight million, one hundred thirty-two thousand, four hundred eighty".