7983172512 has 288 divisors, whose sum is σ = 27368591040. Its totient is φ = 2257113600.

The previous prime is 7983172507. The next prime is 7983172517. The reversal of 7983172512 is 2152713897.

It is an interprime number because it is at equal distance from previous prime (7983172507) and next prime (7983172517).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (7983172517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4275003 + ... + 4276869.

It is an arithmetic number, because the mean of its divisors is an integer number (95029830).

Almost surely, 2^7983172512 is an apocalyptic number.

7983172512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7983172512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13684295520).

7983172512 is an abundant number, since it is smaller than the sum of its proper divisors (19385418528).

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

7983172512 is a wasteful number, since it uses less digits than its factorization.

7983172512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1980 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 7983172512 is about 89348.6010634750. The cubic root of 7983172512 is about 1998.5967249732.

The spelling of 7983172512 in words is "seven billion, nine hundred eighty-three million, one hundred seventy-two thousand, five hundred twelve".