2647685905920 has 800 divisors, whose sum is σ = 10953987444576. Its totient is φ = 604097740800.

The previous prime is 2647685905871. The next prime is 2647685905961. The reversal of 2647685905920 is 295095867462.

2647685905920 is a `hidden beast` number, since 2 + 6 + 476 + 8 + 5 + 90 + 59 + 20 = 666.

It is a super-2 number, since 2×2647685905920² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38742180 + ... + 38810460.

Almost surely, 2^{2647685905920} is an apocalyptic number.

2647685905920 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 2647685905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476993722288).

2647685905920 is an abundant number, since it is smaller than the sum of its proper divisors (8306301538656).

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

2647685905920 is a wasteful number, since it uses less digits than its factorization.

2647685905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68344 (or 68319 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 2647685905920 in words is "two trillion, six hundred forty-seven billion, six hundred eighty-five million, nine hundred five thousand, nine hundred twenty".