1755468000 has 864 divisors, whose sum is σ = 7612690176. Its totient is φ = 380160000.

The previous prime is 1755467993. The next prime is 1755468019. The reversal of 1755468000 is 8645571.

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 143 ways as a sum of consecutive naturals, for example, 56627985 + ... + 56628015.

It is an arithmetic number, because the mean of its divisors is an integer number (8810984).

Almost surely, 2^1755468000 is an apocalyptic number.

1755468000 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 1755468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806345088).

1755468000 is an abundant number, since it is smaller than the sum of its proper divisors (5857222176).

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

1755468000 is a wasteful number, since it uses less digits than its factorization.

1755468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

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

The square root of 1755468000 is about 41898.3054549942. The cubic root of 1755468000 is about 1206.3249374011.

The spelling of 1755468000 in words is "one billion, seven hundred fifty-five million, four hundred sixty-eight thousand".