7832995965001 has 9 divisors (see below), whose sum is σ = 7945075263853. Its totient is φ = 7722476165740.

The previous prime is 7832995964971. The next prime is 7832995965049. The reversal of 7832995965001 is 1005695992387.

The square root of 7832995965001 is 2798749.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 7832995965001 - 2¹³ = 7832995956809 is a prime.

It is a super-2 number, since 2×7832995965001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7832995965071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 198691470 + ... + 198730888.

Almost surely, 2^{7832995965001} is an apocalyptic number.

7832995965001 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

7832995965001 is the 2798749-th square number.

7832995965001 is the 1399375-th centered octagonal number.

It is an amenable number.

7832995965001 is a deficient number, since it is larger than the sum of its proper divisors (112079298852).

7832995965001 is an frugal number, since it uses more digits than its factorization.

7832995965001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78980 (or 39490 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 64.

Multiplying 7832995965001 by its sum of digits (64), we get a square (501311741760064 = 22389992²).

The spelling of 7832995965001 in words is "seven trillion, eight hundred thirty-two billion, nine hundred ninety-five million, nine hundred sixty-five thousand, one".