7987131360 has 240 divisors, whose sum is σ = 30356859456. Its totient is φ = 1966021632.

The previous prime is 7987131349. The next prime is 7987131371. The reversal of 7987131360 is 631317897.

It is an interprime number because it is at equal distance from previous prime (7987131349) and next prime (7987131371).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 144777 + ... + 192183.

Almost surely, 2^7987131360 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 7987131360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178429728).

7987131360 is an abundant number, since it is smaller than the sum of its proper divisors (22369728096).

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

7987131360 is a wasteful number, since it uses less digits than its factorization.

7987131360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47447 (or 47430 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 7987131360 is about 89370.7522626950. The cubic root of 7987131360 is about 1998.9270378123.

The spelling of 7987131360 in words is "seven billion, nine hundred eighty-seven million, one hundred thirty-one thousand, three hundred sixty".