1668721769190 has 768 divisors, whose sum is σ = 5702303784960. Its totient is φ = 344672133120.

The previous prime is 1668721769137. The next prime is 1668721769201. The reversal of 1668721769190 is 919671278661.

It is a super-3 number, since 3×1668721769190³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 955191897 + ... + 955193643.

It is an arithmetic number, because the mean of its divisors is an integer number (7424874720).

Almost surely, 2^{1668721769190} is an apocalyptic number.

1668721769190 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 1668721769190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851151892480).

1668721769190 is an abundant number, since it is smaller than the sum of its proper divisors (4033582015770).

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

1668721769190 is a wasteful number, since it uses less digits than its factorization.

1668721769190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 1668721769190 in words is "one trillion, six hundred sixty-eight billion, seven hundred twenty-one million, seven hundred sixty-nine thousand, one hundred ninety".