67152775248 has 600 divisors, whose sum is σ = 225768398856. Its totient is φ = 19147622400.

The previous prime is 67152775241. The next prime is 67152775259. The reversal of 67152775248 is 84257725176.

67152775248 is a `hidden beast` number, since 6 + 7 + 1 + 527 + 75 + 2 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12430466064 + 54722309184 = 111492^2 + 233928^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 67152775194 and 67152775203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67152775241) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 371009718 + ... + 371009898.

Almost surely, 2^67152775248 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 67152775248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112884199428).

67152775248 is an abundant number, since it is smaller than the sum of its proper divisors (158615623608).

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

67152775248 is a wasteful number, since it uses less digits than its factorization.

67152775248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 279 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The spelling of 67152775248 in words is "sixty-seven billion, one hundred fifty-two million, seven hundred seventy-five thousand, two hundred forty-eight".