73662619680 has 288 divisors, whose sum is σ = 271282991616. Its totient is φ = 18093975552.

The previous prime is 73662619673. The next prime is 73662619687. The reversal of 73662619680 is 8691626637.

73662619680 is a `hidden beast` number, since 7 + 3 + 6 + 626 + 1 + 9 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73662619673) and next prime (73662619687).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (73662619687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9412249 + ... + 9420071.

It is an arithmetic number, because the mean of its divisors is an integer number (941954832).

Almost surely, 2^73662619680 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 73662619680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135641495808).

73662619680 is an abundant number, since it is smaller than the sum of its proper divisors (197620371936).

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

73662619680 is a wasteful number, since it uses less digits than its factorization.

73662619680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8360 (or 8349 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 73662619680 in words is "seventy-three billion, six hundred sixty-two million, six hundred nineteen thousand, six hundred eighty".