1819370096640 has 576 divisors, whose sum is σ = 6733121915520. Its totient is φ = 453256151040.

The previous prime is 1819370096611. The next prime is 1819370096671. The reversal of 1819370096640 is 466900739181.

1819370096640 is a `hidden beast` number, since 181 + 9 + 370 + 0 + 96 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91136260 + ... + 91156220.

It is an arithmetic number, because the mean of its divisors is an integer number (11689447770).

Almost surely, 2^{1819370096640} is an apocalyptic number.

1819370096640 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 1819370096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366560957760).

1819370096640 is an abundant number, since it is smaller than the sum of its proper divisors (4913751818880).

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

1819370096640 is a wasteful number, since it uses less digits than its factorization.

1819370096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20060 (or 20037 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1819370096640 in words is "one trillion, eight hundred nineteen billion, three hundred seventy million, ninety-six thousand, six hundred forty".