67232505600 has 648 divisors, whose sum is σ = 267042508880. Its totient is φ = 16453877760.

The previous prime is 67232505547. The next prime is 67232505601. The reversal of 67232505600 is 650523276.

It is a happy number.

67232505600 is a `hidden beast` number, since 6 + 7 + 23 + 25 + 0 + 5 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67232505601) 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, 388627114 + ... + 388627286.

Almost surely, 2^67232505600 is an apocalyptic number.

67232505600 is a gapful number since it is divisible by the number (60) 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 67232505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133521254440).

67232505600 is an abundant number, since it is smaller than the sum of its proper divisors (199810003280).

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

67232505600 is a wasteful number, since it uses less digits than its factorization.

67232505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 67232505600 in words is "sixty-seven billion, two hundred thirty-two million, five hundred five thousand, six hundred".