74616804864 has 360 divisors, whose sum is σ = 263707998840. Its totient is φ = 20195868672.

The previous prime is 74616804851. The next prime is 74616804869. The reversal of 74616804864 is 46840861647.

74616804864 is a `hidden beast` number, since 7 + 461 + 6 + 80 + 48 + 64 = 666.

It is a super-2 number, since 2×74616804864² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74616804864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74616804869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4281352 + ... + 4298744.

It is an arithmetic number, because the mean of its divisors is an integer number (732522219).

Almost surely, 2^74616804864 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 74616804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131853999420).

74616804864 is an abundant number, since it is smaller than the sum of its proper divisors (189091193976).

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

74616804864 is a wasteful number, since it uses less digits than its factorization.

74616804864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17450 (or 17424 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 74616804864 in words is "seventy-four billion, six hundred sixteen million, eight hundred four thousand, eight hundred sixty-four".