1802643672960 has 576 divisors, whose sum is σ = 6961268321280. Its totient is φ = 443714236416.

The previous prime is 1802643672913. The next prime is 1802643672961. The reversal of 1802643672960 is 692763462081.

1802643672960 is a `hidden beast` number, since 1 + 80 + 2 + 6 + 436 + 72 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×1802643672960⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1802643672897 and 1802643672906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1802643672961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54571009 + ... + 54604031.

It is an arithmetic number, because the mean of its divisors is an integer number (12085535280).

Almost surely, 2^{1802643672960} is an apocalyptic number.

1802643672960 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 1802643672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480634160640).

1802643672960 is an abundant number, since it is smaller than the sum of its proper divisors (5158624648320).

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

1802643672960 is an frugal number, since it uses more digits than its factorization.

1802643672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33079 (or 33046 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1802643672960 in words is "one trillion, eight hundred two billion, six hundred forty-three million, six hundred seventy-two thousand, nine hundred sixty".