1627920000 has 960 divisors, whose sum is σ = 7456363200. Its totient is φ = 331776000.

The previous prime is 1627919999. The next prime is 1627920023. The reversal of 1627920000 is 297261.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85679991 + ... + 85680009.

It is an arithmetic number, because the mean of its divisors is an integer number (7767045).

Almost surely, 2^1627920000 is an apocalyptic number.

1627920000 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 1627920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728181600).

1627920000 is an abundant number, since it is smaller than the sum of its proper divisors (5828443200).

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

1627920000 is a wasteful number, since it uses less digits than its factorization.

1627920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1627920000 is about 40347.4906282906. The cubic root of 1627920000 is about 1176.3711170801.

The spelling of 1627920000 in words is "one billion, six hundred twenty-seven million, nine hundred twenty thousand".