73946089728 has 648 divisors, whose sum is σ = 272519668512. Its totient is φ = 19870728192.

The previous prime is 73946089699. The next prime is 73946089771. The reversal of 73946089728 is 82798064937.

73946089728 is a `hidden beast` number, since 73 + 9 + 460 + 89 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×73946089728² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51818551 + ... + 51819977.

It is an arithmetic number, because the mean of its divisors is an integer number (420555044).

Almost surely, 2^73946089728 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 73946089728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136259834256).

73946089728 is an abundant number, since it is smaller than the sum of its proper divisors (198573578784).

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

73946089728 is a wasteful number, since it uses less digits than its factorization.

73946089728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 73946089728 in words is "seventy-three billion, nine hundred forty-six million, eighty-nine thousand, seven hundred twenty-eight".