73956280320 has 288 divisors, whose sum is σ = 276040510200. Its totient is φ = 18204327936.

The previous prime is 73956280297. The next prime is 73956280331. The reversal of 73956280320 is 2308265937.

73956280320 is a `hidden beast` number, since 7 + 3 + 9 + 562 + 80 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66341274624 + 7615005696 = 257568^2 + 87264^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1167216 + ... + 1228944.

Almost surely, 2^73956280320 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 73956280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138020255100).

73956280320 is an abundant number, since it is smaller than the sum of its proper divisors (202084229880).

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

73956280320 is a wasteful number, since it uses less digits than its factorization.

73956280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61775 (or 61752 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 73956280320 in words is "seventy-three billion, nine hundred fifty-six million, two hundred eighty thousand, three hundred twenty".