7438880000 has 180 divisors, whose sum is σ = 19539495360. Its totient is φ = 2817792000.

The previous prime is 7438879999. The next prime is 7438880027. The reversal of 7438880000 is 888347.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3038777 + ... + 3041223.

It is an arithmetic number, because the mean of its divisors is an integer number (108552752).

Almost surely, 2^7438880000 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 7438880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9769747680).

7438880000 is an abundant number, since it is smaller than the sum of its proper divisors (12100615360).

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

7438880000 is an equidigital number, since it uses as much as digits as its factorization.

7438880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 7438880000 is about 86248.9420224967. The cubic root of 7438880000 is about 1952.1020505637.

The spelling of 7438880000 in words is "seven billion, four hundred thirty-eight million, eight hundred eighty thousand".