1690470053664 has 384 divisors, whose sum is σ = 5337754329600. Its totient is φ = 458276044800.

The previous prime is 1690470053663. The next prime is 1690470053687. The reversal of 1690470053664 is 4663500740961.

It is not an unprimeable number, because it can be changed into a prime (1690470053663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269652322 + ... + 269658590.

It is an arithmetic number, because the mean of its divisors is an integer number (13900401900).

Almost surely, 2^{1690470053664} is an apocalyptic number.

1690470053664 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 1690470053664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668877164800).

1690470053664 is an abundant number, since it is smaller than the sum of its proper divisors (3647284275936).

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

1690470053664 is a wasteful number, since it uses less digits than its factorization.

1690470053664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 1690470053664 in words is "one trillion, six hundred ninety billion, four hundred seventy million, fifty-three thousand, six hundred sixty-four".