1682217977472 has 512 divisors, whose sum is σ = 5510115072000. Its totient is φ = 502847668224.

The previous prime is 1682217977399. The next prime is 1682217977483. The reversal of 1682217977472 is 2747797122861.

1682217977472 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 21 + 79 + 77 + 472 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146490643 + ... + 146502125.

It is an arithmetic number, because the mean of its divisors is an integer number (10761943500).

Almost surely, 2^{1682217977472} is an apocalyptic number.

1682217977472 is a gapful number since it is divisible by the number (12) 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 1682217977472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755057536000).

1682217977472 is an abundant number, since it is smaller than the sum of its proper divisors (3827897094528).

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

1682217977472 is a wasteful number, since it uses less digits than its factorization.

1682217977472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11645 (or 11627 counting only the distinct ones).

The product of its digits is 33191424, while the sum is 63.

The spelling of 1682217977472 in words is "one trillion, six hundred eighty-two billion, two hundred seventeen million, nine hundred seventy-seven thousand, four hundred seventy-two".