1690919482560 has 1792 divisors, whose sum is σ = 7388890398720. Its totient is φ = 317011968000.

The previous prime is 1690919482531. The next prime is 1690919482613. The reversal of 1690919482560 is 652849190961.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1690919482494 and 1690919482503.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 3091260207 + ... + 3091260753.

Almost surely, 2^{1690919482560} is an apocalyptic number.

1690919482560 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 1690919482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694445199360).

1690919482560 is an abundant number, since it is smaller than the sum of its proper divisors (5697970916160).

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

1690919482560 is a wasteful number, since it uses less digits than its factorization.

1690919482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 1690919482560 in words is "one trillion, six hundred ninety billion, nine hundred nineteen million, four hundred eighty-two thousand, five hundred sixty".