1672017984000 has 3200 divisors, whose sum is σ = 8010347304960. Its totient is φ = 341397504000.

The previous prime is 1672017983963. The next prime is 1672017984023. The reversal of 1672017984000 is 4897102761.

It is a happy number.

1672017984000 is a `hidden beast` number, since 1 + 6 + 72 + 0 + 179 + 8 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 53936063985 + ... + 53936064015.

Almost surely, 2^{1672017984000} is an apocalyptic number.

1672017984000 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 1672017984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005173652480).

1672017984000 is an abundant number, since it is smaller than the sum of its proper divisors (6338329320960).

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

1672017984000 is an frugal number, since it uses more digits than its factorization.

1672017984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1672017984000 in words is "one trillion, six hundred seventy-two billion, seventeen million, nine hundred eighty-four thousand".