67827352320 has 1620 divisors, whose sum is σ = 309580397280. Its totient is φ = 14129676288.

The previous prime is 67827352273. The next prime is 67827352339. The reversal of 67827352320 is 2325372876.

67827352320 is a `hidden beast` number, since 6 + 7 + 8 + 273 + 52 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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 179 ways as a sum of consecutive naturals, for example, 858574041 + ... + 858574119.

Almost surely, 2^67827352320 is an apocalyptic number.

67827352320 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 67827352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154790198640).

67827352320 is an abundant number, since it is smaller than the sum of its proper divisors (241753044960).

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

67827352320 is a wasteful number, since it uses less digits than its factorization.

67827352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 67827352320 in words is "sixty-seven billion, eight hundred twenty-seven million, three hundred fifty-two thousand, three hundred twenty".