1802680496640 has 320 divisors, whose sum is σ = 6416433429120. Its totient is φ = 479726714880.

The previous prime is 1802680496531. The next prime is 1802680496641. The reversal of 1802680496640 is 466940862081.

1802680496640 is a `hidden beast` number, since 18 + 0 + 2 + 6 + 80 + 496 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (1802680496641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33911362 + ... + 33964478.

It is an arithmetic number, because the mean of its divisors is an integer number (20051354466).

Almost surely, 2^{1802680496640} is an apocalyptic number.

1802680496640 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 1802680496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208216714560).

1802680496640 is an abundant number, since it is smaller than the sum of its proper divisors (4613752932480).

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

1802680496640 is an equidigital number, since it uses as much as digits as its factorization.

1802680496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53640 (or 53618 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1802680496640 in words is "one trillion, eight hundred two billion, six hundred eighty million, four hundred ninety-six thousand, six hundred forty".