2007830364480 has 168 divisors, whose sum is σ = 6929673076872. Its totient is φ = 533593829376.

The previous prime is 2007830364473. The next prime is 2007830364503. The reversal of 2007830364480 is 844630387002.

2007830364480 is a `hidden beast` number, since 200 + 7 + 8 + 3 + 0 + 364 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 461508270336 + 1546322094144 = 679344^2 + 1243512^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345859 + ... + 2033538.

It is an arithmetic number, because the mean of its divisors is an integer number (41248054029).

Almost surely, 2^{2007830364480} is an apocalyptic number.

2007830364480 is a gapful number since it is divisible by the number (20) 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 2007830364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464836538436).

2007830364480 is an abundant number, since it is smaller than the sum of its proper divisors (4921842712392).

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

2007830364480 is a wasteful number, since it uses less digits than its factorization.

2007830364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379713 (or 2379700 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2007830364480 in words is "two trillion, seven billion, eight hundred thirty million, three hundred sixty-four thousand, four hundred eighty".