2006377527360 has 112 divisors (see below), whose sum is σ = 6372011249856. Its totient is φ = 534885967872.

The previous prime is 2006377527353. The next prime is 2006377527377. The reversal of 2006377527360 is 637257736002.

2006377527360 = 6² + 7² + ... + 18190².

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 3204199 + ... + 3778841.

It is an arithmetic number, because the mean of its divisors is an integer number (56892957588).

Almost surely, 2^{2006377527360} is an apocalyptic number.

2006377527360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006377527360 is an abundant number, since it is smaller than the sum of its proper divisors (4365633722496).

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

2006377527360 is a wasteful number, since it uses less digits than its factorization.

2006377527360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578300 (or 578290 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 48.

The spelling of 2006377527360 in words is "two trillion, six billion, three hundred seventy-seven million, five hundred twenty-seven thousand, three hundred sixty".