6355880006976 has 504 divisors, whose sum is σ = 19569967732224. Its totient is φ = 1971748454400.

The previous prime is 6355880006911. The next prime is 6355880006981. The reversal of 6355880006976 is 6796000885536.

6355880006976 is a `hidden beast` number, since 6 + 3 + 558 + 8 + 0 + 0 + 0 + 6 + 9 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7364866321 + ... + 7364867183.

It is an arithmetic number, because the mean of its divisors is an integer number (38829301056).

Almost surely, 2^{6355880006976} 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 6355880006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9784983866112).

6355880006976 is an abundant number, since it is smaller than the sum of its proper divisors (13214087725248).

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

6355880006976 is a wasteful number, since it uses less digits than its factorization.

6355880006976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 6355880006976 in words is "six trillion, three hundred fifty-five billion, eight hundred eighty million, six thousand, nine hundred seventy-six".