7189465920 has 896 divisors, whose sum is σ = 30674681856. Its totient is φ = 1383727104.

The previous prime is 7189465919. The next prime is 7189465949. The reversal of 7189465920 is 295649817.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69800589 + ... + 69800691.

It is an arithmetic number, because the mean of its divisors is an integer number (34235136).

Almost surely, 2^7189465920 is an apocalyptic number.

7189465920 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 7189465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337340928).

7189465920 is an abundant number, since it is smaller than the sum of its proper divisors (23485215936).

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

7189465920 is a wasteful number, since it uses less digits than its factorization.

7189465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 7189465920 is about 84790.7183599715. The cubic root of 7189465920 is about 1930.0365926823.

The spelling of 7189465920 in words is "seven billion, one hundred eighty-nine million, four hundred sixty-five thousand, nine hundred twenty".