6476525952 has 128 divisors (see below), whose sum is σ = 19124689920. Its totient is φ = 1928448000.

The previous prime is 6476525929. The next prime is 6476525971. The reversal of 6476525952 is 2595256746.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6476525895 and 6476525904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133827 + ... + 175677.

It is an arithmetic number, because the mean of its divisors is an integer number (149411640).

Almost surely, 2^6476525952 is an apocalyptic number.

6476525952 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6476525952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9562344960).

6476525952 is an abundant number, since it is smaller than the sum of its proper divisors (12648163968).

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

6476525952 is a wasteful number, since it uses less digits than its factorization.

6476525952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41912 (or 41900 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 51.

The square root of 6476525952 is about 80476.8659429528. The cubic root of 6476525952 is about 1864.0062750377.

The spelling of 6476525952 in words is "six billion, four hundred seventy-six million, five hundred twenty-five thousand, nine hundred fifty-two".