7398693120 has 576 divisors, whose sum is σ = 30064656384. Its totient is φ = 1508474880.

The previous prime is 7398693109. The next prime is 7398693163. The reversal of 7398693120 is 213968937.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7398693120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10832299 + ... + 10832981.

It is an arithmetic number, because the mean of its divisors is an integer number (52195584).

Almost surely, 2^7398693120 is an apocalyptic number.

7398693120 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 7398693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032328192).

7398693120 is an abundant number, since it is smaller than the sum of its proper divisors (22665963264).

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

7398693120 is a wasteful number, since it uses less digits than its factorization.

7398693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 7398693120 is about 86015.6562493131. The cubic root of 7398693120 is about 1948.5804369212.

The spelling of 7398693120 in words is "seven billion, three hundred ninety-eight million, six hundred ninety-three thousand, one hundred twenty".