1690090766504 has 192 divisors, whose sum is σ = 4052400000000. Its totient is φ = 659716807680.

The previous prime is 1690090766461. The next prime is 1690090766527. The reversal of 1690090766504 is 4056670900961.

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, 24549122 + ... + 24617870.

It is an arithmetic number, because the mean of its divisors is an integer number (21106250000).

Almost surely, 2^{1690090766504} is an apocalyptic number.

1690090766504 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 1690090766504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026200000000).

1690090766504 is an abundant number, since it is smaller than the sum of its proper divisors (2362309233496).

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

1690090766504 is a wasteful number, since it uses less digits than its factorization.

1690090766504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68841 (or 68806 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 53.

The spelling of 1690090766504 in words is "one trillion, six hundred ninety billion, ninety million, seven hundred sixty-six thousand, five hundred four".