73633042656 has 48 divisors (see below), whose sum is σ = 214763043600. Its totient is φ = 24544347264.

The previous prime is 73633042603. The next prime is 73633042657. The reversal of 73633042656 is 65624033637.

73633042656 is a `hidden beast` number, since 7 + 3 + 633 + 0 + 4 + 2 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73633042657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42610851 + ... + 42612578.

It is an arithmetic number, because the mean of its divisors is an integer number (4474230075).

Almost surely, 2^73633042656 is an apocalyptic number.

It is an amenable number.

73633042656 is an abundant number, since it is smaller than the sum of its proper divisors (141130000944).

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

73633042656 is a wasteful number, since it uses less digits than its factorization.

73633042656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85223448 (or 85223434 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 73633042656 in words is "seventy-three billion, six hundred thirty-three million, forty-two thousand, six hundred fifty-six".