67384211040 has 504 divisors, whose sum is σ = 253676556000. Its totient is φ = 16903655424.

The previous prime is 67384211021. The next prime is 67384211047. The reversal of 67384211040 is 4011248376.

67384211040 is a `hidden beast` number, since 67 + 384 + 211 + 0 + 4 + 0 = 666.

67384211040 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 67384210986 and 67384211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67384211047) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 33707961 + ... + 33709959.

It is an arithmetic number, because the mean of its divisors is an integer number (503326500).

Almost surely, 2^67384211040 is an apocalyptic number.

67384211040 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 67384211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126838278000).

67384211040 is an abundant number, since it is smaller than the sum of its proper divisors (186292344960).

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

67384211040 is a wasteful number, since it uses less digits than its factorization.

67384211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 67384211040 in words is "sixty-seven billion, three hundred eighty-four million, two hundred eleven thousand, forty".