7687468512 has 288 divisors, whose sum is σ = 23620262400. Its totient is φ = 2431503360.

The previous prime is 7687468511. The next prime is 7687468559. The reversal of 7687468512 is 2158647867.

7687468512 is a `hidden beast` number, since 7 + 6 + 87 + 46 + 8 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (4515840) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7687468511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97309689 + ... + 97309767.

It is an arithmetic number, because the mean of its divisors is an integer number (82014800).

Almost surely, 2^7687468512 is an apocalyptic number.

7687468512 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 7687468512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11810131200).

7687468512 is an abundant number, since it is smaller than the sum of its proper divisors (15932793888).

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

7687468512 is a wasteful number, since it uses less digits than its factorization.

7687468512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 192 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 7687468512 is about 87678.2100182252. The cubic root of 7687468512 is about 1973.6089986005.

The spelling of 7687468512 in words is "seven billion, six hundred eighty-seven million, four hundred sixty-eight thousand, five hundred twelve".