6330033780480 has 432 divisors, whose sum is σ = 22633073858304. Its totient is φ = 1631727452160.

The previous prime is 6330033780457. The next prime is 6330033780503. The reversal of 6330033780480 is 840873300336.

6330033780480 is a `hidden beast` number, since 6 + 3 + 300 + 337 + 8 + 0 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6330033780457) and next prime (6330033780503).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334611982 + ... + 334630898.

It is an arithmetic number, because the mean of its divisors is an integer number (52391374672).

Almost surely, 2^{6330033780480} is an apocalyptic number.

6330033780480 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 6330033780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11316536929152).

6330033780480 is an abundant number, since it is smaller than the sum of its proper divisors (16303040077824).

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

6330033780480 is a wasteful number, since it uses less digits than its factorization.

6330033780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19912 (or 19895 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 6330033780480 in words is "six trillion, three hundred thirty billion, thirty-three million, seven hundred eighty thousand, four hundred eighty".