7973289984 has 120 divisors (see below), whose sum is σ = 23195890368. Its totient is φ = 2415984640.

The previous prime is 7973289977. The next prime is 7973290001. The reversal of 7973289984 is 4899823797.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533299 + ... + 548045.

Almost surely, 2^7973289984 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 7973289984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11597945184).

7973289984 is an abundant number, since it is smaller than the sum of its proper divisors (15222600384).

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

7973289984 is a wasteful number, since it uses less digits than its factorization.

7973289984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14789 (or 14763 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 66.

The square root of 7973289984 is about 89293.2807326509. The cubic root of 7973289984 is about 1997.7716835583.

The spelling of 7973289984 in words is "seven billion, nine hundred seventy-three million, two hundred eighty-nine thousand, nine hundred eighty-four".