67972441152 has 672 divisors, whose sum is σ = 237306388480. Its totient is φ = 16787865600.

The previous prime is 67972441151. The next prime is 67972441189. The reversal of 67972441152 is 25114427976.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (67972441151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489010299 + ... + 489010437.

Almost surely, 2^67972441152 is an apocalyptic number.

67972441152 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 67972441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118653194240).

67972441152 is an abundant number, since it is smaller than the sum of its proper divisors (169333947328).

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

67972441152 is a wasteful number, since it uses less digits than its factorization.

67972441152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 290 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The spelling of 67972441152 in words is "sixty-seven billion, nine hundred seventy-two million, four hundred forty-one thousand, one hundred fifty-two".