7990272000 has 672 divisors, whose sum is σ = 31384585440. Its totient is φ = 2005401600.

The previous prime is 7990271987. The next prime is 7990272011. The reversal of 7990272000 is 2720997.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470015992 + ... + 470016008.

Almost surely, 2^7990272000 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 7990272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15692292720).

7990272000 is an abundant number, since it is smaller than the sum of its proper divisors (23394313440).

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

7990272000 is an equidigital number, since it uses as much as digits as its factorization.

7990272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 7990272000 is about 89388.3213848431. The cubic root of 7990272000 is about 1999.1890045210.

Adding to 7990272000 its reverse (2720997), we get a palindrome (7992992997).

The spelling of 7990272000 in words is "seven billion, nine hundred ninety million, two hundred seventy-two thousand".