7481937168 has 160 divisors (see below), whose sum is σ = 22746163200. Its totient is φ = 2349730944.

The previous prime is 7481937163. The next prime is 7481937179. The reversal of 7481937168 is 8617391847.

7481937168 is a `hidden beast` number, since 7 + 481 + 93 + 71 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7481937163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660093 + ... + 671331.

It is an arithmetic number, because the mean of its divisors is an integer number (142163520).

Almost surely, 2^7481937168 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 7481937168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11373081600).

7481937168 is an abundant number, since it is smaller than the sum of its proper divisors (15264226032).

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

7481937168 is a wasteful number, since it uses less digits than its factorization.

7481937168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11346 (or 11334 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 7481937168 is about 86498.1917036420. The cubic root of 7481937168 is about 1955.8611441193.

The spelling of 7481937168 in words is "seven billion, four hundred eighty-one million, nine hundred thirty-seven thousand, one hundred sixty-eight".