67364355072 has 352 divisors, whose sum is σ = 213637365760. Its totient is φ = 18466652160.

The previous prime is 67364355061. The next prime is 67364355073. The reversal of 67364355072 is 27055346376.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67364355073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92660373 + ... + 92661099.

Almost surely, 2^67364355072 is an apocalyptic number.

67364355072 is a gapful number since it is divisible by the number (62) 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 67364355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106818682880).

67364355072 is an abundant number, since it is smaller than the sum of its proper divisors (146273010688).

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

67364355072 is a wasteful number, since it uses less digits than its factorization.

67364355072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 48.

The spelling of 67364355072 in words is "sixty-seven billion, three hundred sixty-four million, three hundred fifty-five thousand, seventy-two".