687228203106720 has 3072 divisors, whose sum is σ = 2820484045209600. Its totient is φ = 154726225920000.

The previous prime is 687228203106637. The next prime is 687228203106733. The reversal of 687228203106720 is 27601302822786.

687228203106720 is a `hidden beast` number, since 6 + 8 + 7 + 228 + 20 + 310 + 67 + 20 = 666.

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 511 ways as a sum of consecutive naturals, for example, 1042834905751 + ... + 1042834906409.

It is an arithmetic number, because the mean of its divisors is an integer number (918126316800).

Almost surely, 2^{687228203106720} is an apocalyptic number.

687228203106720 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 687228203106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410242022604800).

687228203106720 is an abundant number, since it is smaller than the sum of its proper divisors (2133255842102880).

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

687228203106720 is a wasteful number, since it uses less digits than its factorization.

687228203106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1018 counting only the distinct ones).

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

The spelling of 687228203106720 in words is "six hundred eighty-seven trillion, two hundred twenty-eight billion, two hundred three million, one hundred six thousand, seven hundred twenty".