7331089920 has 960 divisors, whose sum is σ = 31347993600. Its totient is φ = 1457111040.

The previous prime is 7331089919. The next prime is 7331089957. The reversal of 7331089920 is 299801337.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318743029 + ... + 318743051.

It is an arithmetic number, because the mean of its divisors is an integer number (32654160).

Almost surely, 2^7331089920 is an apocalyptic number.

7331089920 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 7331089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673996800).

7331089920 is an abundant number, since it is smaller than the sum of its proper divisors (24016903680).

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

7331089920 is a wasteful number, since it uses less digits than its factorization.

7331089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 7331089920 is about 85621.7841439899. The cubic root of 7331089920 is about 1942.6274244792.

The spelling of 7331089920 in words is "seven billion, three hundred thirty-one million, eighty-nine thousand, nine hundred twenty".