7973505750 has 256 divisors, whose sum is σ = 24681646080. Its totient is φ = 1672704000.

The previous prime is 7973505721. The next prime is 7973505763. The reversal of 7973505750 is 575053797.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7973505750.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3658161 + ... + 3660339.

It is an arithmetic number, because the mean of its divisors is an integer number (96412680).

Almost surely, 2^7973505750 is an apocalyptic number.

7973505750 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7973505750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12340823040).

7973505750 is an abundant number, since it is smaller than the sum of its proper divisors (16708140330).

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

7973505750 is a wasteful number, since it uses less digits than its factorization.

7973505750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 1157625, while the sum is 48.

The square root of 7973505750 is about 89294.4889116904. The cubic root of 7973505750 is about 1997.7897040290.

The spelling of 7973505750 in words is "seven billion, nine hundred seventy-three million, five hundred five thousand, seven hundred fifty".