73656630610500 has 384 divisors, whose sum is σ = 245696838266880. Its totient is φ = 16796867788800.

The previous prime is 73656630610471. The next prime is 73656630610571. The reversal of 73656630610500 is 501603665637.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 73656630610500.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9067659439 + ... + 9067667561.

It is an arithmetic number, because the mean of its divisors is an integer number (639835516320).

Almost surely, 2^{73656630610500} is an apocalyptic number.

73656630610500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73656630610500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122848419133440).

73656630610500 is an abundant number, since it is smaller than the sum of its proper divisors (172040207656380).

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

73656630610500 is a wasteful number, since it uses less digits than its factorization.

73656630610500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 10032 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 48.

The spelling of 73656630610500 in words is "seventy-three trillion, six hundred fifty-six billion, six hundred thirty million, six hundred ten thousand, five hundred".