7925902268193 has 128 divisors (see below), whose sum is σ = 14672912486400. Its totient is φ = 4116773776896.

The previous prime is 7925902268177. The next prime is 7925902268201. The reversal of 7925902268193 is 3918622095297.

7925902268193 is a `hidden beast` number, since 7 + 9 + 2 + 590 + 2 + 26 + 8 + 19 + 3 = 666.

It is not a de Polignac number, because 7925902268193 - 2⁴ = 7925902268177 is a prime.

It is a super-3 number, since 3×7925902268193³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 7925902268193.

It is not an unprimeable number, because it can be changed into a prime (7925902268093) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 547021693 + ... + 547036181.

It is an arithmetic number, because the mean of its divisors is an integer number (114632128800).

Almost surely, 2^{7925902268193} is an apocalyptic number.

It is an amenable number.

7925902268193 is a deficient number, since it is larger than the sum of its proper divisors (6747010218207).

7925902268193 is a wasteful number, since it uses less digits than its factorization.

7925902268193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17908 (or 17902 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 7925902268193 in words is "seven trillion, nine hundred twenty-five billion, nine hundred two million, two hundred sixty-eight thousand, one hundred ninety-three".