6148396800 has 1728 divisors, whose sum is σ = 30658037760. Its totient is φ = 1167851520.

The previous prime is 6148396741. The next prime is 6148396801. The reversal of 6148396800 is 86938416.

6148396800 is a `hidden beast` number, since 6 + 1 + 483 + 96 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6148396801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 267321589 + ... + 267321611.

It is an arithmetic number, because the mean of its divisors is an integer number (17741920).

Almost surely, 2^6148396800 is an apocalyptic number.

6148396800 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 6148396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15329018880).

6148396800 is an abundant number, since it is smaller than the sum of its proper divisors (24509640960).

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

6148396800 is a wasteful number, since it uses less digits than its factorization.

6148396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6148396800 is about 78411.7134106888. The cubic root of 6148396800 is about 1831.9795831773.

The spelling of 6148396800 in words is "six billion, one hundred forty-eight million, three hundred ninety-six thousand, eight hundred".