1901664000 has 576 divisors, whose sum is σ = 7346626560. Its totient is φ = 483840000.

The previous prime is 1901663977. The next prime is 1901664019. The reversal of 1901664000 is 4661091.

1901664000 is a `hidden beast` number, since 1 + 9 + 0 + 16 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26783965 + ... + 26784035.

It is an arithmetic number, because the mean of its divisors is an integer number (12754560).

Almost surely, 2^1901664000 is an apocalyptic number.

1901664000 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 1901664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673313280).

1901664000 is an abundant number, since it is smaller than the sum of its proper divisors (5444962560).

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

1901664000 is an equidigital number, since it uses as much as digits as its factorization.

1901664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1901664000 is about 43608.0726471602. The cubic root of 1901664000 is about 1238.9237974111.

The spelling of 1901664000 in words is "one billion, nine hundred one million, six hundred sixty-four thousand".