1735985664 has 120 divisors (see below), whose sum is σ = 5726017440. Its totient is φ = 495986688.

The previous prime is 1735985663. The next prime is 1735985707. The reversal of 1735985664 is 4665895371.

1735985664 is a `hidden beast` number, since 1 + 73 + 5 + 9 + 8 + 566 + 4 = 666.

It is a super-2 number, since 2×1735985664² = 6027292451227041792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1735985664.

It is not an unprimeable number, because it can be changed into a prime (1735985663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5347 + ... + 59165.

It is an arithmetic number, because the mean of its divisors is an integer number (47716812).

Almost surely, 2^1735985664 is an apocalyptic number.

1735985664 is a gapful number since it is divisible by the number (14) 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 1735985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863008720).

1735985664 is an abundant number, since it is smaller than the sum of its proper divisors (3990031776).

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

1735985664 is an equidigital number, since it uses as much as digits as its factorization.

1735985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53850 (or 53831 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 1735985664 is about 41665.1612741389. The cubic root of 1735985664 is about 1201.8456930588.

The spelling of 1735985664 in words is "one billion, seven hundred thirty-five million, nine hundred eighty-five thousand, six hundred sixty-four".