7128148456800 has 1440 divisors, whose sum is σ = 32471901665280. Its totient is φ = 1483934515200.

The previous prime is 7128148456789. The next prime is 7128148456909. The reversal of 7128148456800 is 86548418217.

7128148456800 is a `hidden beast` number, since 7 + 1 + 2 + 81 + 484 + 5 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 239032291 + ... + 239062109.

It is an arithmetic number, because the mean of its divisors is an integer number (22549931712).

Almost surely, 2^{7128148456800} is an apocalyptic number.

7128148456800 is a gapful number since it is divisible by the number (70) 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 7128148456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16235950832640).

7128148456800 is an abundant number, since it is smaller than the sum of its proper divisors (25343753208480).

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

7128148456800 is a wasteful number, since it uses less digits than its factorization.

7128148456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29906 (or 29884 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 7128148456800 in words is "seven trillion, one hundred twenty-eight billion, one hundred forty-eight million, four hundred fifty-six thousand, eight hundred".