6630042481920 has 1512 divisors, whose sum is σ = 28191502043208. Its totient is φ = 1483317411840.

The previous prime is 6630042481891. The next prime is 6630042481943. The reversal of 6630042481920 is 291842400366.

6630042481920 is a `hidden beast` number, since 6 + 6 + 30 + 0 + 424 + 8 + 192 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 358503957504 + 6271538524416 = 598752^2 + 2504304^2 .

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 167 ways as a sum of consecutive naturals, for example, 1467795502 + ... + 1467800018.

It is an arithmetic number, because the mean of its divisors is an integer number (18645173309).

Almost surely, 2^{6630042481920} is an apocalyptic number.

6630042481920 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 6630042481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14095751021604).

6630042481920 is an abundant number, since it is smaller than the sum of its proper divisors (21561459561288).

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

6630042481920 is a wasteful number, since it uses less digits than its factorization.

6630042481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 6630042481920 in words is "six trillion, six hundred thirty billion, forty-two million, four hundred eighty-one thousand, nine hundred twenty".