1783681132800 has 864 divisors, whose sum is σ = 7169893097472. Its totient is φ = 381644144640.

The previous prime is 1783681132799. The next prime is 1783681132801. The reversal of 1783681132800 is 82311863871.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1783681132799) and next prime (1783681132801).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1783681132800.

It is not an unprimeable number, because it can be changed into a prime (1783681132801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145280262 + ... + 145292538.

Almost surely, 2^{1783681132800} is an apocalyptic number.

1783681132800 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 1783681132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584946548736).

1783681132800 is an abundant number, since it is smaller than the sum of its proper divisors (5386211964672).

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

1783681132800 is a wasteful number, since it uses less digits than its factorization.

1783681132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12383 (or 12364 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 1783681132800 in words is "one trillion, seven hundred eighty-three billion, six hundred eighty-one million, one hundred thirty-two thousand, eight hundred".