7470978818400 has 864 divisors, whose sum is σ = 27696807290880. Its totient is φ = 1964986490880.

The previous prime is 7470978818383. The next prime is 7470978818491. The reversal of 7470978818400 is 48188790747.

7470978818400 is a `hidden beast` number, since 7 + 470 + 9 + 7 + 8 + 81 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5250160089 + ... + 5250161511.

It is an arithmetic number, because the mean of its divisors is an integer number (32056489920).

Almost surely, 2^{7470978818400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7470978818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13848403645440).

7470978818400 is an abundant number, since it is smaller than the sum of its proper divisors (20225828472480).

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

7470978818400 is a wasteful number, since it uses less digits than its factorization.

7470978818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 7470978818400 in words is "seven trillion, four hundred seventy billion, nine hundred seventy-eight million, eight hundred eighteen thousand, four hundred".