7948993727 has 16 divisors (see below), whose sum is σ = 8088400800. Its totient is φ = 7811097600.

The previous prime is 7948993697. The next prime is 7948993823. The reversal of 7948993727 is 7273998497.

It is a cyclic number.

It is not a de Polignac number, because 7948993727 - 2²⁴ = 7932216511 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7948993027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9825299 + ... + 9826107.

It is an arithmetic number, because the mean of its divisors is an integer number (505525050).

Almost surely, 2^7948993727 is an apocalyptic number.

7948993727 is a deficient number, since it is larger than the sum of its proper divisors (139407073).

7948993727 is a wasteful number, since it uses less digits than its factorization.

7948993727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546.

The product of its digits is 48009024, while the sum is 65.

The square root of 7948993727 is about 89157.1294232828. The cubic root of 7948993727 is about 1995.7404116440.

The spelling of 7948993727 in words is "seven billion, nine hundred forty-eight million, nine hundred ninety-three thousand, seven hundred twenty-seven".