6476956992000 has 960 divisors, whose sum is σ = 26392857499008. Its totient is φ = 1570129920000.

The previous prime is 6476956991983. The next prime is 6476956992083. The reversal of 6476956992000 is 2996596746.

6476956992000 is a `hidden beast` number, since 6 + 4 + 7 + 69 + 569 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171053070 + ... + 171090930.

Almost surely, 2^{6476956992000} is an apocalyptic number.

6476956992000 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 6476956992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13196428749504).

6476956992000 is an abundant number, since it is smaller than the sum of its proper divisors (19915900507008).

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

6476956992000 is an equidigital number, since it uses as much as digits as its factorization.

6476956992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37920 (or 37882 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 6476956992000 in words is "six trillion, four hundred seventy-six billion, nine hundred fifty-six million, nine hundred ninety-two thousand".