7973989920 has 960 divisors, whose sum is σ = 33194810880. Its totient is φ = 1785618432.

The previous prime is 7973989913. The next prime is 7973989921. The reversal of 7973989920 is 299893797.

It is a super-4 number, since 4×7973989920⁴ (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (7973989921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 150452614 + ... + 150452666.

It is an arithmetic number, because the mean of its divisors is an integer number (34577928).

Almost surely, 2^7973989920 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 7973989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597405440).

7973989920 is an abundant number, since it is smaller than the sum of its proper divisors (25220820960).

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

7973989920 is a wasteful number, since it uses less digits than its factorization.

7973989920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The square root of 7973989920 is about 89297.1999561016. The cubic root of 7973989920 is about 1997.8301400386.

The spelling of 7973989920 in words is "seven billion, nine hundred seventy-three million, nine hundred eighty-nine thousand, nine hundred twenty".