1745005680 has 200 divisors, whose sum is σ = 6611902704. Its totient is φ = 423014400.

The previous prime is 1745005631. The next prime is 1745005693. The reversal of 1745005680 is 865005471.

1745005680 is a `hidden beast` number, since 1 + 74 + 500 + 5 + 6 + 80 = 666.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 59040 + ... + 83520.

Almost surely, 2^1745005680 is an apocalyptic number.

1745005680 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 1745005680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305951352).

1745005680 is an abundant number, since it is smaller than the sum of its proper divisors (4866897024).

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

1745005680 is a wasteful number, since it uses less digits than its factorization.

1745005680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24517 (or 24502 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1745005680 is about 41773.2651345331. The cubic root of 1745005680 is about 1203.9236567819.

The spelling of 1745005680 in words is "one billion, seven hundred forty-five million, five thousand, six hundred eighty".