1919764642080 has 384 divisors, whose sum is σ = 6579604684800. Its totient is φ = 468724838400.

The previous prime is 1919764642057. The next prime is 1919764642109. The reversal of 1919764642080 is 802464679191.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 1919764642080.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234370785 + ... + 234378975.

It is an arithmetic number, because the mean of its divisors is an integer number (17134387200).

Almost surely, 2^{1919764642080} is an apocalyptic number.

1919764642080 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 1919764642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289802342400).

1919764642080 is an abundant number, since it is smaller than the sum of its proper divisors (4659840042720).

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

1919764642080 is a wasteful number, since it uses less digits than its factorization.

1919764642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9088 (or 9080 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 1919764642080 in words is "one trillion, nine hundred nineteen billion, seven hundred sixty-four million, six hundred forty-two thousand, eighty".