7381189920 has 288 divisors, whose sum is σ = 26507476800. Its totient is φ = 1720922112.

The previous prime is 7381189913. The next prime is 7381189927. The reversal of 7381189920 is 299811837.

It is an interprime number because it is at equal distance from previous prime (7381189913) and next prime (7381189927).

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 7381189920.

It is not an unprimeable number, because it can be changed into a prime (7381189927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1538886 + ... + 1543674.

It is an arithmetic number, because the mean of its divisors is an integer number (92039850).

Almost surely, 2^7381189920 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 7381189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253738400).

7381189920 is an abundant number, since it is smaller than the sum of its proper divisors (19126286880).

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

7381189920 is a wasteful number, since it uses less digits than its factorization.

7381189920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 7381189920 is about 85913.8517353285. The cubic root of 7381189920 is about 1947.0426282258.

The spelling of 7381189920 in words is "seven billion, three hundred eighty-one million, one hundred eighty-nine thousand, nine hundred twenty".