8125407675 has 360 divisors, whose sum is σ = 19854253056. Its totient is φ = 3188160000.

The previous prime is 8125407643. The next prime is 8125407709. The reversal of 8125407675 is 5767045218.

It is not a de Polignac number, because 8125407675 - 2⁵ = 8125407643 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 8125407675.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 198180655 + ... + 198180695.

Almost surely, 2^8125407675 is an apocalyptic number.

8125407675 is an abundant number, since it is smaller than the sum of its proper divisors (11728845381).

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

8125407675 is a wasteful number, since it uses less digits than its factorization.

8125407675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 8125407675 is about 90141.0432322591. The cubic root of 8125407675 is about 2010.3965023091.

It can be divided in two parts, 81 and 25407675, that added together give a triangular number (25407756 = T₇₁₂₈).

The spelling of 8125407675 in words is "eight billion, one hundred twenty-five million, four hundred seven thousand, six hundred seventy-five".