2687665821632 has 112 divisors (see below), whose sum is σ = 6090462296064. Its totient is φ = 1165605504000.

The previous prime is 2687665821613. The next prime is 2687665821641. The reversal of 2687665821632 is 2361285667862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682238 + ... + 2416770.

Almost surely, 2^{2687665821632} is an apocalyptic number.

2687665821632 is a gapful number since it is divisible by the number (22) 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 2687665821632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045231148032).

2687665821632 is an abundant number, since it is smaller than the sum of its proper divisors (3402796474432).

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

2687665821632 is a wasteful number, since it uses less digits than its factorization.

2687665821632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734658 (or 1734648 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 62.

The spelling of 2687665821632 in words is "two trillion, six hundred eighty-seven billion, six hundred sixty-five million, eight hundred twenty-one thousand, six hundred thirty-two".