67652315482752 has 1728 divisors, whose sum is σ = 278005319373600. Its totient is φ = 16219760578560.

The previous prime is 67652315482691. The next prime is 67652315482771. The reversal of 67652315482752 is 25728451325676.

67652315482752 is a `hidden beast` number, since 6 + 7 + 6 + 5 + 2 + 31 + 548 + 2 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 67652315482752.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2397388899 + ... + 2397417117.

Almost surely, 2^{67652315482752} 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 67652315482752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139002659686800).

67652315482752 is an abundant number, since it is smaller than the sum of its proper divisors (210353003890848).

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

67652315482752 is a wasteful number, since it uses less digits than its factorization.

67652315482752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28297 (or 28255 counting only the distinct ones).

The product of its digits is 169344000, while the sum is 63.

The spelling of 67652315482752 in words is "sixty-seven trillion, six hundred fifty-two billion, three hundred fifteen million, four hundred eighty-two thousand, seven hundred fifty-two".