73656000000 has 1120 divisors, whose sum is σ = 306896071680. Its totient is φ = 17280000000.

The previous prime is 73655999999. The next prime is 73656000007. The reversal of 73656000000 is 65637.

73656000000 is a `hidden beast` number, since 7 + 3 + 656 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73656000007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2375999985 + ... + 2376000015.

Almost surely, 2^73656000000 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 73656000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153448035840).

73656000000 is an abundant number, since it is smaller than the sum of its proper divisors (233240071680).

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

73656000000 is an frugal number, since it uses more digits than its factorization.

73656000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 73656000000 its reverse (65637), we get a palindrome (73656065637).

The spelling of 73656000000 in words is "seventy-three billion, six hundred fifty-six million", and thus it is an aban number.