7687986625152 has 128 divisors (see below), whose sum is σ = 23884461576000. Its totient is φ = 2427785229312.

The previous prime is 7687986625051. The next prime is 7687986625159. The reversal of 7687986625152 is 2515266897867.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (7687986625159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58474683 + ... + 58606010.

Almost surely, 2^{7687986625152} is an apocalyptic number.

7687986625152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7687986625152 is an abundant number, since it is smaller than the sum of its proper divisors (16196474950848).

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

7687986625152 is a wasteful number, since it uses less digits than its factorization.

7687986625152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117080735 (or 117080717 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

It can be divided in two parts, 7687986 and 625152, that added together give a palindrome (8313138).

The spelling of 7687986625152 in words is "seven trillion, six hundred eighty-seven billion, nine hundred eighty-six million, six hundred twenty-five thousand, one hundred fifty-two".