2685950640720 has 640 divisors, whose sum is σ = 9945700577280. Its totient is φ = 664516638720.

The previous prime is 2685950640701. The next prime is 2685950640803. The reversal of 2685950640720 is 270460595862.

2685950640720 is a `hidden beast` number, since 2 + 6 + 8 + 595 + 0 + 6 + 40 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 637839415 + ... + 637843625.

It is an arithmetic number, because the mean of its divisors is an integer number (15540157152).

Almost surely, 2^{2685950640720} is an apocalyptic number.

2685950640720 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 2685950640720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972850288640).

2685950640720 is an abundant number, since it is smaller than the sum of its proper divisors (7259749936560).

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

2685950640720 is a wasteful number, since it uses less digits than its factorization.

2685950640720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2685950640720 in words is "two trillion, six hundred eighty-five billion, nine hundred fifty million, six hundred forty thousand, seven hundred twenty".