687766403760 has 160 divisors (see below), whose sum is σ = 2355644229120. Its totient is φ = 165110820864.

The previous prime is 687766403759. The next prime is 687766403761. The reversal of 687766403760 is 67304667786.

It is an interprime number because it is at equal distance from previous prime (687766403759) and next prime (687766403761).

It is a super-2 number, since 2×687766403760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 687766403694 and 687766403703.

It is not an unprimeable number, because it can be changed into a prime (687766403761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3570730 + ... + 3758409.

It is an arithmetic number, because the mean of its divisors is an integer number (14722776432).

Almost surely, 2^687766403760 is an apocalyptic number.

687766403760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

687766403760 is an abundant number, since it is smaller than the sum of its proper divisors (1667877825360).

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

687766403760 is a wasteful number, since it uses less digits than its factorization.

687766403760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7329195 (or 7329189 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 60.

The spelling of 687766403760 in words is "six hundred eighty-seven billion, seven hundred sixty-six million, four hundred three thousand, seven hundred sixty".