2687354707968 has 1680 divisors, whose sum is σ = 10308456213120. Its totient is φ = 670049501184.

The previous prime is 2687354707837. The next prime is 2687354708011. The reversal of 2687354707968 is 8697074537862.

2687354707968 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 3 + 547 + 0 + 79 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2687354707896 and 2687354707905.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57177759721 + ... + 57177759767.

Almost surely, 2^{2687354707968} is an apocalyptic number.

2687354707968 is a gapful number since it is divisible by the number (28) 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 2687354707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154228106560).

2687354707968 is an abundant number, since it is smaller than the sum of its proper divisors (7621101505152).

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

2687354707968 is an equidigital number, since it uses as much as digits as its factorization.

2687354707968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 2687354707968 in words is "two trillion, six hundred eighty-seven billion, three hundred fifty-four million, seven hundred seven thousand, nine hundred sixty-eight".