6330040778880 has 768 divisors, whose sum is σ = 26969363366400. Its totient is φ = 1332258471936.

The previous prime is 6330040778879. The next prime is 6330040778909. The reversal of 6330040778880 is 888770400336.

6330040778880 is a `hidden beast` number, since 63 + 30 + 0 + 407 + 78 + 8 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214366677 + ... + 214396203.

It is an arithmetic number, because the mean of its divisors is an integer number (35116358550).

Almost surely, 2^{6330040778880} is an apocalyptic number.

6330040778880 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 6330040778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484681683200).

6330040778880 is an abundant number, since it is smaller than the sum of its proper divisors (20639322587520).

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

6330040778880 is a wasteful number, since it uses less digits than its factorization.

6330040778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29981 (or 29966 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 6330040778880 in words is "six trillion, three hundred thirty billion, forty million, seven hundred seventy-eight thousand, eight hundred eighty".