1668292416000 has 3840 divisors, whose sum is σ = 8121369484800. Its totient is φ = 334430208000.

The previous prime is 1668292415969. The next prime is 1668292416031. The reversal of 1668292416000 is 6142928661.

1668292416000 is a `hidden beast` number, since 16 + 6 + 8 + 2 + 9 + 24 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1668292415969) and next prime (1668292416031).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 27349055970 + ... + 27349056030.

It is an arithmetic number, because the mean of its divisors is an integer number (2114939970).

Almost surely, 2^{1668292416000} is an apocalyptic number.

1668292416000 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 1668292416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060684742400).

1668292416000 is an abundant number, since it is smaller than the sum of its proper divisors (6453077068800).

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

1668292416000 is a wasteful number, since it uses less digits than its factorization.

1668292416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1668292416000 in words is "one trillion, six hundred sixty-eight billion, two hundred ninety-two million, four hundred sixteen thousand".