1639984006080 has 336 divisors, whose sum is σ = 6448154581440. Its totient is φ = 374768861184.

The previous prime is 1639984006049. The next prime is 1639984006081. The reversal of 1639984006080 is 806004899361.

1639984006080 is a `hidden beast` number, since 16 + 3 + 9 + 98 + 400 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1639984006081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150327666 + ... + 150338574.

Almost surely, 2^{1639984006080} is an apocalyptic number.

1639984006080 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 1639984006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224077290720).

1639984006080 is an abundant number, since it is smaller than the sum of its proper divisors (4808170575360).

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

1639984006080 is a wasteful number, since it uses less digits than its factorization.

1639984006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18396 (or 18383 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1639984006080 in words is "one trillion, six hundred thirty-nine billion, nine hundred eighty-four million, six thousand, eighty".