7486879870080 has 1440 divisors, whose sum is σ = 30765532471740. Its totient is φ = 1733930385408.

The previous prime is 7486879870061. The next prime is 7486879870081. The reversal of 7486879870080 is 800789786847.

It is a happy number.

7486879870080 is a `hidden beast` number, since 7 + 486 + 8 + 79 + 8 + 70 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 813502979136 + 6673376890944 = 901944^2 + 2583288^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 7486879869990 and 7486879870008.

It is not an unprimeable number, because it can be changed into a prime (7486879870081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2531915962 + ... + 2531918918.

Almost surely, 2^{7486879870080} 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 7486879870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15382766235870).

7486879870080 is an abundant number, since it is smaller than the sum of its proper divisors (23278652601660).

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

7486879870080 is a wasteful number, since it uses less digits than its factorization.

7486879870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 72.

The spelling of 7486879870080 in words is "seven trillion, four hundred eighty-six billion, eight hundred seventy-nine million, eight hundred seventy thousand, eighty".