6476988528 has 320 divisors, whose sum is σ = 20101392000. Its totient is φ = 1992646656.

The previous prime is 6476988523. The next prime is 6476988533. The reversal of 6476988528 is 8258896746.

6476988528 is a `hidden beast` number, since 6 + 47 + 69 + 8 + 8 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (6476988523) and next prime (6476988533).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6476988523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41254626 + ... + 41254782.

It is an arithmetic number, because the mean of its divisors is an integer number (62816850).

Almost surely, 2^6476988528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6476988528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10050696000).

6476988528 is an abundant number, since it is smaller than the sum of its proper divisors (13624403472).

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

6476988528 is a wasteful number, since it uses less digits than its factorization.

6476988528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The square root of 6476988528 is about 80479.7398604146. The cubic root of 6476988528 is about 1864.0506519174.

The spelling of 6476988528 in words is "six billion, four hundred seventy-six million, nine hundred eighty-eight thousand, five hundred twenty-eight".