1687121466240 has 256 divisors, whose sum is σ = 6160989312000. Its totient is φ = 384683655168.

The previous prime is 1687121466227. The next prime is 1687121466257. The reversal of 1687121466240 is 426641217861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1687121466240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5343501 + ... + 5650419.

It is an arithmetic number, because the mean of its divisors is an integer number (24066364500).

Almost surely, 2^{1687121466240} is an apocalyptic number.

1687121466240 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 1687121466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080494656000).

1687121466240 is an abundant number, since it is smaller than the sum of its proper divisors (4473867845760).

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

1687121466240 is a wasteful number, since it uses less digits than its factorization.

1687121466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307357 (or 307345 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 1687121466240 in words is "one trillion, six hundred eighty-seven billion, one hundred twenty-one million, four hundred sixty-six thousand, two hundred forty".