6317638778880 has 1280 divisors, whose sum is σ = 26617265690400. Its totient is φ = 1413312675840.

The previous prime is 6317638778849. The next prime is 6317638778887. The reversal of 6317638778880 is 888778367136.

6317638778880 is a `hidden beast` number, since 6 + 3 + 176 + 387 + 78 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6317638778799 and 6317638778808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6317638778887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1897757056 + ... + 1897760384.

Almost surely, 2^{6317638778880} is an apocalyptic number.

6317638778880 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 6317638778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13308632845200).

6317638778880 is an abundant number, since it is smaller than the sum of its proper divisors (20299626911520).

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

6317638778880 is a wasteful number, since it uses less digits than its factorization.

6317638778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 6317638778880 in words is "six trillion, three hundred seventeen billion, six hundred thirty-eight million, seven hundred seventy-eight thousand, eight hundred eighty".