687672115200 has 1890 divisors, whose sum is σ = 3037628298096. Its totient is φ = 153837895680.

The previous prime is 687672115189. The next prime is 687672115213. The reversal of 687672115200 is 2511276786.

687672115200 is a `hidden beast` number, since 68 + 7 + 67 + 2 + 1 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1890).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 14631321577 + ... + 14631321623.

Almost surely, 2^687672115200 is an apocalyptic number.

687672115200 is a gapful number since it is divisible by the number (60) 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 687672115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518814149048).

687672115200 is an abundant number, since it is smaller than the sum of its proper divisors (2349956182896).

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

687672115200 is an frugal number, since it uses more digits than its factorization.

687672115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 687672115200 in words is "six hundred eighty-seven billion, six hundred seventy-two million, one hundred fifteen thousand, two hundred".