1684687272840 has 512 divisors, whose sum is σ = 6625833177600. Its totient is φ = 375366942720.

The previous prime is 1684687272823. The next prime is 1684687272869. The reversal of 1684687272840 is 482727864861.

1684687272840 is a `hidden beast` number, since 1 + 68 + 468 + 7 + 2 + 72 + 8 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35961112 + ... + 36007928.

It is an arithmetic number, because the mean of its divisors is an integer number (12941080425).

Almost surely, 2^{1684687272840} is an apocalyptic number.

1684687272840 is a gapful number since it is divisible by the number (10) 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 1684687272840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312916588800).

1684687272840 is an abundant number, since it is smaller than the sum of its proper divisors (4941145904760).

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

1684687272840 is a wasteful number, since it uses less digits than its factorization.

1684687272840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47094 (or 47084 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 1684687272840 in words is "one trillion, six hundred eighty-four billion, six hundred eighty-seven million, two hundred seventy-two thousand, eight hundred forty".