7387681920 has 128 divisors (see below), whose sum is σ = 24308052480. Its totient is φ = 1906483200.

The previous prime is 7387681913. The next prime is 7387681921. The reversal of 7387681920 is 291867837.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (7387681921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2541 + ... + 121580.

It is an arithmetic number, because the mean of its divisors is an integer number (189906660).

Almost surely, 2^7387681920 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 7387681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12154026240).

7387681920 is an abundant number, since it is smaller than the sum of its proper divisors (16920370560).

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

7387681920 is a wasteful number, since it uses less digits than its factorization.

7387681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124174 (or 124162 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 7387681920 is about 85951.6254645600. The cubic root of 7387681920 is about 1947.6132903577.

The spelling of 7387681920 in words is "seven billion, three hundred eighty-seven million, six hundred eighty-one thousand, nine hundred twenty".