7972160000 has 200 divisors, whose sum is σ = 22754466240. Its totient is φ = 2732544000.

The previous prime is 7972159999. The next prime is 7972160033. The reversal of 7972160000 is 612797.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2238221 + ... + 2241779.

Almost surely, 2^7972160000 is an apocalyptic number.

7972160000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7972160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11377233120).

7972160000 is an abundant number, since it is smaller than the sum of its proper divisors (14782306240).

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

7972160000 is an frugal number, since it uses more digits than its factorization.

7972160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 7972160000 is about 89286.9531342626. The cubic root of 7972160000 is about 1997.6773035849.

Adding to 7972160000 its reverse (612797), we get a palindrome (7972772797).

The spelling of 7972160000 in words is "seven billion, nine hundred seventy-two million, one hundred sixty thousand".