67952941056 has 1152 divisors, whose sum is σ = 274743705600. Its totient is φ = 15606743040.

The previous prime is 67952941013. The next prime is 67952941073. The reversal of 67952941056 is 65014925976.

67952941056 is a `hidden beast` number, since 6 + 7 + 9 + 529 + 4 + 105 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 67952940993 and 67952941011.

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, 535062465 + ... + 535062591.

It is an arithmetic number, because the mean of its divisors is an integer number (238492800).

Almost surely, 2^67952941056 is an apocalyptic number.

67952941056 is a gapful number since it is divisible by the number (66) 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 67952941056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137371852800).

67952941056 is an abundant number, since it is smaller than the sum of its proper divisors (206790764544).

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

67952941056 is a wasteful number, since it uses less digits than its factorization.

67952941056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 67952941056 in words is "sixty-seven billion, nine hundred fifty-two million, nine hundred forty-one thousand, fifty-six".