687266477568 has 800 divisors, whose sum is σ = 2420363658240. Its totient is φ = 191879331840.

The previous prime is 687266477551. The next prime is 687266477621. The reversal of 687266477568 is 865774662786.

It is a happy number.

687266477568 is a `hidden beast` number, since 6 + 87 + 26 + 6 + 477 + 56 + 8 = 666.

It is a super-2 number, since 2×687266477568² (a number of 24 digits) contains 22 as substring.

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

Its product of digits (1137991680) is a multiple of the sum of its prime factors (2240).

It is a junction number, because it is equal to n+sod(n) for n = 687266477496 and 687266477505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 320701905 + ... + 320704047.

Almost surely, 2^687266477568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687266477568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210181829120).

687266477568 is an abundant number, since it is smaller than the sum of its proper divisors (1733097180672).

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

687266477568 is a wasteful number, since it uses less digits than its factorization.

687266477568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2215 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 72.

The spelling of 687266477568 in words is "six hundred eighty-seven billion, two hundred sixty-six million, four hundred seventy-seven thousand, five hundred sixty-eight".