80467068384000 has 3456 divisors, whose sum is σ = 328010881685760. Its totient is φ = 19396952064000.

The previous prime is 80467068383969. The next prime is 80467068384071. The reversal of 80467068384000 is 48386076408.

80467068384000 is a `hidden beast` number, since 80 + 4 + 6 + 70 + 68 + 38 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1102288607964 + ... + 1102288608036.

Almost surely, 2^{80467068384000} is an apocalyptic number.

80467068384000 is a gapful number since it is divisible by the number (80) 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 80467068384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164005440842880).

80467068384000 is an abundant number, since it is smaller than the sum of its proper divisors (247543813301760).

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

80467068384000 is a wasteful number, since it uses less digits than its factorization.

80467068384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 80467068384000 in words is "eighty trillion, four hundred sixty-seven billion, sixty-eight million, three hundred eighty-four thousand".