7687113985152 has 960 divisors, whose sum is σ = 26979951651840. Its totient is φ = 2166167162880.

The previous prime is 7687113985147. The next prime is 7687113985181. The reversal of 7687113985152 is 2515893117867.

It is a happy number.

7687113985152 is a `hidden beast` number, since 7 + 6 + 87 + 1 + 1 + 39 + 8 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 7687113985152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18259177902 + ... + 18259178322.

It is an arithmetic number, because the mean of its divisors is an integer number (28104116304).

Almost surely, 2^{7687113985152} is an apocalyptic number.

7687113985152 is a gapful number since it is divisible by the number (72) 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 7687113985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13489975825920).

7687113985152 is an abundant number, since it is smaller than the sum of its proper divisors (19292837666688).

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

7687113985152 is a wasteful number, since it uses less digits than its factorization.

7687113985152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 843 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 63.

The spelling of 7687113985152 in words is "seven trillion, six hundred eighty-seven billion, one hundred thirteen million, nine hundred eighty-five thousand, one hundred fifty-two".