6476480010000 has 3200 divisors, whose sum is σ = 32237616660480. Its totient is φ = 1200614400000.

The previous prime is 6476480009983. The next prime is 6476480010029. The reversal of 6476480010000 is 100846746.

6476480010000 is a `hidden beast` number, since 6 + 4 + 7 + 648 + 0 + 0 + 1 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 8378369614 + ... + 8378370386.

Almost surely, 2^{6476480010000} is an apocalyptic number.

6476480010000 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 6476480010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16118808330240).

6476480010000 is an abundant number, since it is smaller than the sum of its proper divisors (25761136650480).

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

6476480010000 is a wasteful number, since it uses less digits than its factorization.

6476480010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 6476480010000 its reverse (100846746), we get a palindrome (6476580856746).

The spelling of 6476480010000 in words is "six trillion, four hundred seventy-six billion, four hundred eighty million, ten thousand".