6348137625 has 96 divisors (see below), whose sum is σ = 11793468960. Its totient is φ = 3283200000.

The previous prime is 6348137599. The next prime is 6348137629. The reversal of 6348137625 is 5267318436.

6348137625 is a `hidden beast` number, since 6 + 3 + 4 + 8 + 13 + 7 + 625 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3474748809 + 2873388816 = 58947^2 + 53604^2 .

It is not a de Polignac number, because 6348137625 - 2⁹ = 6348137113 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (6348137629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10562325 + ... + 10562925.

It is an arithmetic number, because the mean of its divisors is an integer number (122848635).

Almost surely, 2^6348137625 is an apocalyptic number.

It is an amenable number.

6348137625 is a deficient number, since it is larger than the sum of its proper divisors (5445331335).

6348137625 is a wasteful number, since it uses less digits than its factorization.

6348137625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 879 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 6348137625 is about 79675.2008155612. The cubic root of 6348137625 is about 1851.6068459709.

The spelling of 6348137625 in words is "six billion, three hundred forty-eight million, one hundred thirty-seven thousand, six hundred twenty-five".