687612442176 has 441 divisors, whose sum is σ = 2255135027313. Its totient is φ = 207770365440.

The previous prime is 687612442147. The next prime is 687612442219. The reversal of 687612442176 is 671244216786.

The square root of 687612442176 is 829224.

It is a perfect power (a square), and thus also a powerful number.

687612442176 is a `hidden beast` number, since 6 + 8 + 7 + 612 + 4 + 4 + 2 + 17 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 504702259776 + 182910182400 = 710424^2 + 427680^2 .

It is a super-2 number, since 2×687612442176² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1970236050 + ... + 1970236398.

Almost surely, 2^687612442176 is an apocalyptic number.

687612442176 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

687612442176 is the 829224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687612442176

687612442176 is an abundant number, since it is smaller than the sum of its proper divisors (1567522585137).

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

687612442176 is an frugal number, since it uses more digits than its factorization.

687612442176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 365 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 687612442176 in words is "six hundred eighty-seven billion, six hundred twelve million, four hundred forty-two thousand, one hundred seventy-six".