67984773120 has 416 divisors, whose sum is σ = 263689914240. Its totient is φ = 16479682560.

The previous prime is 67984773113. The next prime is 67984773121. The reversal of 67984773120 is 2137748976.

67984773120 is a `hidden beast` number, since 67 + 98 + 477 + 3 + 1 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67984773121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6076972 + ... + 6088148.

Almost surely, 2^67984773120 is an apocalyptic number.

67984773120 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 67984773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131844957120).

67984773120 is an abundant number, since it is smaller than the sum of its proper divisors (195705141120).

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

67984773120 is a wasteful number, since it uses less digits than its factorization.

67984773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11226 (or 11198 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 67984773120 in words is "sixty-seven billion, nine hundred eighty-four million, seven hundred seventy-three thousand, one hundred twenty".