7486878688848 has 60 divisors (see below), whose sum is σ = 22564620498420. Its totient is φ = 2303654980608.

The previous prime is 7486878688843. The next prime is 7486878688853. The reversal of 7486878688848 is 8488868786847.

7486878688848 is a `hidden beast` number, since 7 + 486 + 8 + 7 + 8 + 6 + 8 + 88 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (7486878688843) and next prime (7486878688853).

It can be written as a sum of positive squares in 2 ways, for example, as 1767644702784 + 5719233986064 = 1329528^2 + 2391492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7486878688841) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1999698633 + ... + 1999702376.

It is an arithmetic number, because the mean of its divisors is an integer number (376077008307).

Almost surely, 2^{7486878688848} is an apocalyptic number.

7486878688848 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7486878688848 is an abundant number, since it is smaller than the sum of its proper divisors (15077741809572).

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

7486878688848 is a wasteful number, since it uses less digits than its factorization.

7486878688848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999401036 (or 3999401027 counting only the distinct ones).

The product of its digits is 59190018048, while the sum is 90.

The spelling of 7486878688848 in words is "seven trillion, four hundred eighty-six billion, eight hundred seventy-eight million, six hundred eighty-eight thousand, eight hundred forty-eight".