1690200224640 has 768 divisors, whose sum is σ = 6443787168000. Its totient is φ = 422134530048.

The previous prime is 1690200224633. The next prime is 1690200224651. The reversal of 1690200224640 is 464220020961.

1690200224640 is a `hidden beast` number, since 1 + 6 + 9 + 0 + 2 + 0 + 0 + 2 + 2 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1690200224595 and 1690200224604.

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 95 ways as a sum of consecutive naturals, for example, 262981107 + ... + 262987533.

It is an arithmetic number, because the mean of its divisors is an integer number (8390347875).

Almost surely, 2^{1690200224640} is an apocalyptic number.

1690200224640 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 1690200224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221893584000).

1690200224640 is an abundant number, since it is smaller than the sum of its proper divisors (4753586943360).

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

1690200224640 is an equidigital number, since it uses as much as digits as its factorization.

1690200224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6569 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1690200224640 in words is "one trillion, six hundred ninety billion, two hundred million, two hundred twenty-four thousand, six hundred forty".