1687972608000 has 1920 divisors, whose sum is σ = 7457635785600. Its totient is φ = 371589120000.

The previous prime is 1687972607983. The next prime is 1687972608017. The reversal of 1687972608000 is 8062797861.

It is an interprime number because it is at equal distance from previous prime (1687972607983) and next prime (1687972608017).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4209407800 + ... + 4209408200.

It is an arithmetic number, because the mean of its divisors is an integer number (3884185305).

Almost surely, 2^{1687972608000} is an apocalyptic number.

1687972608000 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 1687972608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728817892800).

1687972608000 is an abundant number, since it is smaller than the sum of its proper divisors (5769663177600).

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

1687972608000 is an equidigital number, since it uses as much as digits as its factorization.

1687972608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1687972608000 in words is "one trillion, six hundred eighty-seven billion, nine hundred seventy-two million, six hundred eight thousand".