7378848400 has 240 divisors, whose sum is σ = 22318571520. Its totient is φ = 2277388800.

The previous prime is 7378848371. The next prime is 7378848427. The reversal of 7378848400 is 48488737.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3294481 + ... + 3296719.

It is an arithmetic number, because the mean of its divisors is an integer number (92994048).

Almost surely, 2^7378848400 is an apocalyptic number.

7378848400 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 7378848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11159285760).

7378848400 is an abundant number, since it is smaller than the sum of its proper divisors (14939723120).

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

7378848400 is a wasteful number, since it uses less digits than its factorization.

7378848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 49.

The square root of 7378848400 is about 85900.2235154252. The cubic root of 7378848400 is about 1946.8367209816.

The spelling of 7378848400 in words is "seven billion, three hundred seventy-eight million, eight hundred forty-eight thousand, four hundred".