7478300860800 has 768 divisors, whose sum is σ = 30729066785280. Its totient is φ = 1552947609600.

The previous prime is 7478300860769. The next prime is 7478300860843. The reversal of 7478300860800 is 80680038747.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2067540592 + ... + 2067544208.

It is an arithmetic number, because the mean of its divisors is an integer number (40011805710).

Almost surely, 2^{7478300860800} is an apocalyptic number.

7478300860800 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 7478300860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364533392640).

7478300860800 is an abundant number, since it is smaller than the sum of its proper divisors (23250765924480).

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

7478300860800 is a wasteful number, since it uses less digits than its factorization.

7478300860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 7478300860800 in words is "seven trillion, four hundred seventy-eight billion, three hundred million, eight hundred sixty thousand, eight hundred".