7381145376 has 144 divisors (see below), whose sum is σ = 23457234528. Its totient is φ = 2182118400.

The previous prime is 7381145339. The next prime is 7381145399. The reversal of 7381145376 is 6735411837.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101475 + ... + 158301.

It is an arithmetic number, because the mean of its divisors is an integer number (162897462).

Almost surely, 2^7381145376 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 7381145376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11728617264).

7381145376 is an abundant number, since it is smaller than the sum of its proper divisors (16076089152).

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

7381145376 is a wasteful number, since it uses less digits than its factorization.

7381145376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56895 (or 56884 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 7381145376 is about 85913.5924985098. The cubic root of 7381145376 is about 1947.0387115474.

The spelling of 7381145376 in words is "seven billion, three hundred eighty-one million, one hundred forty-five thousand, three hundred seventy-six".