67575340072080 has 800 divisors, whose sum is σ = 257349348837504. Its totient is φ = 16365983219712.

The previous prime is 67575340072067. The next prime is 67575340072099. The reversal of 67575340072080 is 8027004357576.

It is a happy number.

67575340072080 is a `hidden beast` number, since 6 + 7 + 5 + 7 + 534 + 0 + 0 + 7 + 20 + 80 = 666.

It is a super-2 number, since 2×67575340072080² (a number of 28 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 393075102 + ... + 393246978.

Almost surely, 2^{67575340072080} is an apocalyptic number.

67575340072080 is a gapful number since it is divisible by the number (60) 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 67575340072080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128674674418752).

67575340072080 is an abundant number, since it is smaller than the sum of its proper divisors (189774008765424).

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

67575340072080 is a wasteful number, since it uses less digits than its factorization.

67575340072080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172045 (or 172030 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 67575340072080 in words is "sixty-seven trillion, five hundred seventy-five billion, three hundred forty million, seventy-two thousand, eighty".