67566121920 has 1792 divisors, whose sum is σ = 303375974400. Its totient is φ = 13934592000.

The previous prime is 67566121919. The next prime is 67566121943. The reversal of 67566121920 is 2912166576.

67566121920 is a `hidden beast` number, since 6 + 7 + 5 + 6 + 612 + 1 + 9 + 20 = 666.

67566121920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 255 ways as a sum of consecutive naturals, for example, 951635485 + ... + 951635555.

Almost surely, 2^67566121920 is an apocalyptic number.

67566121920 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 67566121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151687987200).

67566121920 is an abundant number, since it is smaller than the sum of its proper divisors (235809852480).

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

67566121920 is a wasteful number, since it uses less digits than its factorization.

67566121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 67566121920 in words is "sixty-seven billion, five hundred sixty-six million, one hundred twenty-one thousand, nine hundred twenty".