67738480233984 has 960 divisors, whose sum is σ = 239290567566336. Its totient is φ = 18007060119552.

The previous prime is 67738480233979. The next prime is 67738480234043. The reversal of 67738480233984 is 48933208483776.

67738480233984 is a `hidden beast` number, since 6 + 7 + 7 + 38 + 480 + 2 + 3 + 39 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17608129149 + ... + 17608132995.

Almost surely, 2^{67738480233984} is an apocalyptic number.

67738480233984 is a gapful number since it is divisible by the number (64) 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 67738480233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119645283783168).

67738480233984 is an abundant number, since it is smaller than the sum of its proper divisors (171552087332352).

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

67738480233984 is a wasteful number, since it uses less digits than its factorization.

67738480233984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 67738480233984 in words is "sixty-seven trillion, seven hundred thirty-eight billion, four hundred eighty million, two hundred thirty-three thousand, nine hundred eighty-four".