1639680000 has 480 divisors, whose sum is σ = 6345218880. Its totient is φ = 368640000.

The previous prime is 1639679989. The next prime is 1639680011. The reversal of 1639680000 is 869361.

It is an interprime number because it is at equal distance from previous prime (1639679989) and next prime (1639680011).

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26879970 + ... + 26880030.

It is an arithmetic number, because the mean of its divisors is an integer number (13219206).

Almost surely, 2^1639680000 is an apocalyptic number.

1639680000 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 1639680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172609440).

1639680000 is an abundant number, since it is smaller than the sum of its proper divisors (4705538880).

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

1639680000 is an frugal number, since it uses more digits than its factorization.

1639680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1639680000 is about 40492.9623515000. The cubic root of 1639680000 is about 1179.1970022759.

The spelling of 1639680000 in words is "one billion, six hundred thirty-nine million, six hundred eighty thousand".