1995640800 has 288 divisors, whose sum is σ = 6859248480. Its totient is φ = 503193600.

The previous prime is 1995640799. The next prime is 1995640817. The reversal of 1995640800 is 80465991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3688530 + ... + 3689070.

It is an arithmetic number, because the mean of its divisors is an integer number (23816835).

Almost surely, 2^1995640800 is an apocalyptic number.

1995640800 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 1995640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429624240).

1995640800 is an abundant number, since it is smaller than the sum of its proper divisors (4863607680).

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

1995640800 is a wasteful number, since it uses less digits than its factorization.

1995640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1995640800 is about 44672.5956264017. The cubic root of 1995640800 is about 1259.0050093981.

The spelling of 1995640800 in words is "one billion, nine hundred ninety-five million, six hundred forty thousand, eight hundred".