7682160000 has 160 divisors (see below), whose sum is σ = 25499806200. Its totient is φ = 2048512000.

The previous prime is 7682159987. The next prime is 7682160007. The reversal of 7682160000 is 612867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 7682160000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7682160007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 223996 + ... + 256004.

Almost surely, 2^7682160000 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 7682160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749903100).

7682160000 is an abundant number, since it is smaller than the sum of its proper divisors (17817646200).

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

7682160000 is an equidigital number, since it uses as much as digits as its factorization.

7682160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32046 (or 32019 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7682160000 is about 87647.9320919781. The cubic root of 7682160000 is about 1973.1546080321.

Adding to 7682160000 its reverse (612867), we get a palindrome (7682772867).

The spelling of 7682160000 in words is "seven billion, six hundred eighty-two million, one hundred sixty thousand".