7961382993 has 16 divisors (see below), whose sum is σ = 11023056576. Its totient is φ = 5107196160.

The previous prime is 7961382967. The next prime is 7961383009. The reversal of 7961382993 is 3992831697.

It is not a de Polignac number, because 7961382993 - 2¹² = 7961378897 is a prime.

It is a super-2 number, since 2×7961382993² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7961382943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434355 + ... + 452312.

It is an arithmetic number, because the mean of its divisors is an integer number (688941036).

Almost surely, 2^7961382993 is an apocalyptic number.

7961382993 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

7961382993 is a deficient number, since it is larger than the sum of its proper divisors (3061673583).

7961382993 is a wasteful number, since it uses less digits than its factorization.

7961382993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886784.

The product of its digits is 4408992, while the sum is 57.

The square root of 7961382993 is about 89226.5823227585. The cubic root of 7961382993 is about 1996.7767241203.

The spelling of 7961382993 in words is "seven billion, nine hundred sixty-one million, three hundred eighty-two thousand, nine hundred ninety-three".