67840561152 has 936 divisors, whose sum is σ = 256959664416. Its totient is φ = 17724801024.

The previous prime is 67840561133. The next prime is 67840561157. The reversal of 67840561152 is 25116504876.

67840561152 is a `hidden beast` number, since 6 + 7 + 84 + 0 + 561 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a junction number, because it is equal to n+sod(n) for n = 67840561098 and 67840561107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67840561157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 634023883 + ... + 634023989.

It is an arithmetic number, because the mean of its divisors is an integer number (274529556).

Almost surely, 2^67840561152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67840561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128479832208).

67840561152 is an abundant number, since it is smaller than the sum of its proper divisors (189119103264).

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

67840561152 is a wasteful number, since it uses less digits than its factorization.

67840561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 67840561152 in words is "sixty-seven billion, eight hundred forty million, five hundred sixty-one thousand, one hundred fifty-two".