1721640960 has 384 divisors, whose sum is σ = 6604416000. Its totient is φ = 422903808.

The previous prime is 1721640937. The next prime is 1721641001. The reversal of 1721640960 is 690461271.

1721640960 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 640 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 3594001 + ... + 3594479.

It is an arithmetic number, because the mean of its divisors is an integer number (17199000).

Almost surely, 2^1721640960 is an apocalyptic number.

1721640960 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 1721640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208000).

1721640960 is an abundant number, since it is smaller than the sum of its proper divisors (4882775040).

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

1721640960 is a wasteful number, since it uses less digits than its factorization.

1721640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1721640960 is about 41492.6615198399. The cubic root of 1721640960 is about 1198.5261906460.

The spelling of 1721640960 in words is "one billion, seven hundred twenty-one million, six hundred forty thousand, nine hundred sixty".