73327800891008 has 64 divisors (see below), whose sum is σ = 158731657440000. Its totient is φ = 33613762682880.

The previous prime is 73327800890999. The next prime is 73327800891017. The reversal of 73327800891008 is 80019800872337.

It is an interprime number because it is at equal distance from previous prime (73327800890999) and next prime (73327800891017).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×73327800891008² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486234833 + ... + 486385616.

It is an arithmetic number, because the mean of its divisors is an integer number (2480182147500).

Almost surely, 2^{73327800891008} is an apocalyptic number.

It is an amenable number.

73327800891008 is an abundant number, since it is smaller than the sum of its proper divisors (85403856548992).

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

73327800891008 is a wasteful number, since it uses less digits than its factorization.

73327800891008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972620513 (or 972620501 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 56.

The spelling of 73327800891008 in words is "seventy-three trillion, three hundred twenty-seven billion, eight hundred million, eight hundred ninety-one thousand, eight".