1667612344320 has 1088 divisors, whose sum is σ = 6500282745600. Its totient is φ = 408195956736.

The previous prime is 1667612344319. The next prime is 1667612344373. The reversal of 1667612344320 is 234432167661.

1667612344320 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 612 + 3 + 4 + 4 + 3 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9316269991 + ... + 9316270169.

Almost surely, 2^{1667612344320} is an apocalyptic number.

1667612344320 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 1667612344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250141372800).

1667612344320 is an abundant number, since it is smaller than the sum of its proper divisors (4832670401280).

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

1667612344320 is an frugal number, since it uses more digits than its factorization.

1667612344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1667612344320 in words is "one trillion, six hundred sixty-seven billion, six hundred twelve million, three hundred forty-four thousand, three hundred twenty".