2017073664 has 200 divisors, whose sum is σ = 6376805028. Its totient is φ = 632586240.

The previous prime is 2017073657. The next prime is 2017073693. The reversal of 2017073664 is 4663707102.

It can be written as a sum of positive squares in 2 ways, for example, as 1954347264 + 62726400 = 44208^2 + 7920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 703594 + ... + 706454.

Almost surely, 2^2017073664 is an apocalyptic number.

2017073664 is a gapful number since it is divisible by the number (24) 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 2017073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188402514).

2017073664 is an abundant number, since it is smaller than the sum of its proper divisors (4359731364).

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

2017073664 is an equidigital number, since it uses as much as digits as its factorization.

2017073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2017073664 is about 44911.8432487468. The cubic root of 2017073664 is about 1263.4961405750.

The spelling of 2017073664 in words is "two billion, seventeen million, seventy-three thousand, six hundred sixty-four".