7973954208 has 216 divisors, whose sum is σ = 25537281588. Its totient is φ = 2356992000.

The previous prime is 7973954189. The next prime is 7973954237. The reversal of 7973954208 is 8024593797.

7973954208 is a `hidden beast` number, since 7 + 97 + 3 + 9 + 542 + 0 + 8 = 666.

It is a Cunningham number, because it is equal to 89297²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 6893648784 + 1080305424 = 83028^2 + 32868^2 .

It is a super-2 number, since 2×7973954208² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1425978 + ... + 1431558.

Almost surely, 2^7973954208 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 7973954208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12768640794).

7973954208 is an abundant number, since it is smaller than the sum of its proper divisors (17563327380).

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

7973954208 is a wasteful number, since it uses less digits than its factorization.

7973954208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 7973954208 is about 89296.9999944007. Note that the first 5 decimals coincide. The cubic root of 7973954208 is about 1997.8271575661.

The spelling of 7973954208 in words is "seven billion, nine hundred seventy-three million, nine hundred fifty-four thousand, two hundred eight".