67776160320 has 1344 divisors, whose sum is σ = 287575142400. Its totient is φ = 15009546240.

The previous prime is 67776160307. The next prime is 67776160339. The reversal of 67776160320 is 2306167776.

67776160320 is a `hidden beast` number, since 6 + 7 + 7 + 7 + 616 + 0 + 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 191 ways as a sum of consecutive naturals, for example, 857926041 + ... + 857926119.

It is an arithmetic number, because the mean of its divisors is an integer number (213969600).

Almost surely, 2^67776160320 is an apocalyptic number.

67776160320 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 67776160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143787571200).

67776160320 is an abundant number, since it is smaller than the sum of its proper divisors (219798982080).

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

67776160320 is a wasteful number, since it uses less digits than its factorization.

67776160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 67776160320 in words is "sixty-seven billion, seven hundred seventy-six million, one hundred sixty thousand, three hundred twenty".