6476993812800 has 756 divisors, whose sum is σ = 28188750551520. Its totient is φ = 1402534103040.

The previous prime is 6476993812769. The next prime is 6476993812813. The reversal of 6476993812800 is 82183996746.

6476993812800 is a `hidden beast` number, since 6 + 476 + 9 + 9 + 3 + 81 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13164837 + ... + 13647963.

Almost surely, 2^{6476993812800} is an apocalyptic number.

6476993812800 is a gapful number since it is divisible by the number (60) 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 6476993812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094375275760).

6476993812800 is an abundant number, since it is smaller than the sum of its proper divisors (21711756738720).

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

6476993812800 is a wasteful number, since it uses less digits than its factorization.

6476993812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483188 (or 483163 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 6476993812800 in words is "six trillion, four hundred seventy-six billion, nine hundred ninety-three million, eight hundred twelve thousand, eight hundred".