1745643640 has 128 divisors (see below), whose sum is σ = 4507513920. Its totient is φ = 602726400.

The previous prime is 1745643631. The next prime is 1745643643. The reversal of 1745643640 is 463465471.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1745643593 and 1745643602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1745643643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1599495 + ... + 1600585.

Almost surely, 2^1745643640 is an apocalyptic number.

1745643640 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 1745643640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253756960).

1745643640 is an abundant number, since it is smaller than the sum of its proper divisors (2761870280).

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

1745643640 is a wasteful number, since it uses less digits than its factorization.

1745643640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 1745643640 is about 41780.9004211254. The cubic root of 1745643640 is about 1204.0703538320.

The spelling of 1745643640 in words is "one billion, seven hundred forty-five million, six hundred forty-three thousand, six hundred forty".