67364860464 has 420 divisors, whose sum is σ = 219012935400. Its totient is φ = 20042795520.

The previous prime is 67364860447. The next prime is 67364860477. The reversal of 67364860464 is 46406846376.

67364860464 = 72³ + 73³ + ... + 720³.

67364860464 is a `hidden beast` number, since 67 + 3 + 64 + 8 + 60 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 67364860464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 83268892 + ... + 83269700.

It is an arithmetic number, because the mean of its divisors is an integer number (521459370).

Almost surely, 2^67364860464 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 67364860464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109506467700).

67364860464 is an abundant number, since it is smaller than the sum of its proper divisors (151648074936).

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

67364860464 is a wasteful number, since it uses less digits than its factorization.

67364860464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 67364860464 in words is "sixty-seven billion, three hundred sixty-four million, eight hundred sixty thousand, four hundred sixty-four".