1690204729920 has 672 divisors, whose sum is σ = 6584733388800. Its totient is φ = 365240365056.

The previous prime is 1690204729883. The next prime is 1690204729943. The reversal of 1690204729920 is 299274020961.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 503185201 + ... + 503188559.

It is an arithmetic number, because the mean of its divisors is an integer number (9798710400).

Almost surely, 2^{1690204729920} is an apocalyptic number.

1690204729920 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 1690204729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292366694400).

1690204729920 is an abundant number, since it is smaller than the sum of its proper divisors (4894528658880).

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

1690204729920 is a wasteful number, since it uses less digits than its factorization.

1690204729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 1690204729920 in words is "one trillion, six hundred ninety billion, two hundred four million, seven hundred twenty-nine thousand, nine hundred twenty".