7986341520 has 480 divisors, whose sum is σ = 29593534464. Its totient is φ = 1923609600.

The previous prime is 7986341513. The next prime is 7986341521. The reversal of 7986341520 is 251436897.

7986341520 is a `hidden beast` number, since 7 + 9 + 8 + 634 + 1 + 5 + 2 + 0 = 666.

7986341520 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

7986341520 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (7986341521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24127755 + ... + 24128085.

It is a 2-persistent number, because it is pandigital, and so is 2⋅7986341520 = 15972683040, but 3⋅7986341520 = 23959024560 is not.

It is a vampire number, since it can be written as 87420 ⋅ 91356 (with its own digits).

Almost surely, 2^7986341520 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 7986341520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14796767232).

7986341520 is an abundant number, since it is smaller than the sum of its proper divisors (21607192944).

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

7986341520 is a wasteful number, since it uses less digits than its factorization.

7986341520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7986341520 is about 89366.3332581124. Note that the first 3 decimals coincide. The cubic root of 7986341520 is about 1998.8611449610.

The spelling of 7986341520 in words is "seven billion, nine hundred eighty-six million, three hundred forty-one thousand, five hundred twenty".