1668737150496 has 336 divisors, whose sum is σ = 5535298472256. Its totient is φ = 491131289088.

The previous prime is 1668737150461. The next prime is 1668737150497. The reversal of 1668737150496 is 6940517378661.

1668737150496 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 7 + 37 + 1 + 504 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (1668737150497) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6855451 + ... + 7094693.

It is an arithmetic number, because the mean of its divisors is an integer number (16474102596).

Almost surely, 2^{1668737150496} is an apocalyptic number.

1668737150496 is a gapful number since it is divisible by the number (16) 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 1668737150496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767649236128).

1668737150496 is an abundant number, since it is smaller than the sum of its proper divisors (3866561321760).

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

1668737150496 is a wasteful number, since it uses less digits than its factorization.

1668737150496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239307 (or 239284 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 1668737150496 in words is "one trillion, six hundred sixty-eight billion, seven hundred thirty-seven million, one hundred fifty thousand, four hundred ninety-six".