6476688400 has 180 divisors, whose sum is σ = 19257701952. Its totient is φ = 2049615360.

The previous prime is 6476688377. The next prime is 6476688401. The reversal of 6476688400 is 48866746.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6476688401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 466357 + ... + 480043.

Almost surely, 2^6476688400 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 6476688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9628850976).

6476688400 is an abundant number, since it is smaller than the sum of its proper divisors (12781013552).

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

6476688400 is a wasteful number, since it uses less digits than its factorization.

6476688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13738 (or 13714 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The square root of 6476688400 is about 80477.8752204604. The cubic root of 6476688400 is about 1864.0218596048.

The spelling of 6476688400 in words is "six billion, four hundred seventy-six million, six hundred eighty-eight thousand, four hundred".