1690413921504 has 864 divisors, whose sum is σ = 6211453248000. Its totient is φ = 431136276480.

The previous prime is 1690413921499. The next prime is 1690413921533. The reversal of 1690413921504 is 4051293140961.

1690413921504 is a `hidden beast` number, since 1 + 6 + 9 + 0 + 4 + 139 + 2 + 1 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1690413921504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3764841472 + ... + 3764841920.

It is an arithmetic number, because the mean of its divisors is an integer number (7189182000).

Almost surely, 2^{1690413921504} is an apocalyptic number.

1690413921504 is a gapful number since it is divisible by the number (14) 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 1690413921504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105726624000).

1690413921504 is an abundant number, since it is smaller than the sum of its proper divisors (4521039326496).

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

1690413921504 is a wasteful number, since it uses less digits than its factorization.

1690413921504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1690413921504 in words is "one trillion, six hundred ninety billion, four hundred thirteen million, nine hundred twenty-one thousand, five hundred four".