7631318016 has 528 divisors, whose sum is σ = 27106865280. Its totient is φ = 2113413120.

The previous prime is 7631317979. The next prime is 7631318017. The reversal of 7631318016 is 6108131367.

7631318016 is a `hidden beast` number, since 7 + 631 + 3 + 1 + 8 + 0 + 16 = 666.

It is a super-3 number, since 3×7631318016³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7631318017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58254271 + ... + 58254401.

It is an arithmetic number, because the mean of its divisors is an integer number (51338760).

Almost surely, 2^7631318016 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 7631318016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553432640).

7631318016 is an abundant number, since it is smaller than the sum of its proper divisors (19475547264).

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

7631318016 is a wasteful number, since it uses less digits than its factorization.

7631318016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7631318016 is about 87357.4153463803. The cubic root of 7631318016 is about 1968.7920666567.

The spelling of 7631318016 in words is "seven billion, six hundred thirty-one million, three hundred eighteen thousand, sixteen".