67712041152 has 448 divisors, whose sum is σ = 235959091200. Its totient is φ = 18632954880.

The previous prime is 67712041123. The next prime is 67712041171. The reversal of 67712041152 is 25114021776.

67712041152 is a `hidden beast` number, since 6 + 77 + 120 + 411 + 52 = 666.

67712041152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134616133 + ... + 134616635.

It is an arithmetic number, because the mean of its divisors is an integer number (526694400).

Almost surely, 2^67712041152 is an apocalyptic number.

67712041152 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 67712041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117979545600).

67712041152 is an abundant number, since it is smaller than the sum of its proper divisors (168247050048).

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

67712041152 is a wasteful number, since it uses less digits than its factorization.

67712041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 67712041152 in words is "sixty-seven billion, seven hundred twelve million, forty-one thousand, one hundred fifty-two".