6128480400 has 720 divisors, whose sum is σ = 24745273344. Its totient is φ = 1268628480.

The previous prime is 6128480389. The next prime is 6128480411. The reversal of 6128480400 is 40848216.

It is an interprime number because it is at equal distance from previous prime (6128480389) and next prime (6128480411).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130393177 + ... + 130393223.

Almost surely, 2^6128480400 is an apocalyptic number.

6128480400 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 6128480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12372636672).

6128480400 is an abundant number, since it is smaller than the sum of its proper divisors (18616792944).

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

6128480400 is a wasteful number, since it uses less digits than its factorization.

6128480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 6128480400 is about 78284.6115146521. The cubic root of 6128480400 is about 1829.9993430676. Note that the first 3 decimals are identical.

The spelling of 6128480400 in words is "six billion, one hundred twenty-eight million, four hundred eighty thousand, four hundred".