1690377009750 has 768 divisors, whose sum is σ = 5818777316352. Its totient is φ = 347687424000.

The previous prime is 1690377009743. The next prime is 1690377009757. The reversal of 1690377009750 is 579007730961.

It is an interprime number because it is at equal distance from previous prime (1690377009743) and next prime (1690377009757).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690377009757) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 235195657 + ... + 235202843.

It is an arithmetic number, because the mean of its divisors is an integer number (7576532964).

Almost surely, 2^{1690377009750} is an apocalyptic number.

1690377009750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1690377009750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909388658176).

1690377009750 is an abundant number, since it is smaller than the sum of its proper divisors (4128400306602).

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

1690377009750 is a wasteful number, since it uses less digits than its factorization.

1690377009750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7294 (or 7281 counting only the distinct ones).

The product of its (nonzero) digits is 2500470, while the sum is 54.

The spelling of 1690377009750 in words is "one trillion, six hundred ninety billion, three hundred seventy-seven million, nine thousand, seven hundred fifty".