73801603774080 has 4608 divisors, whose sum is σ = 349430315420160. Its totient is φ = 13991795490816.

The previous prime is 73801603773979. The next prime is 73801603774099. The reversal of 73801603774080 is 8047730610837.

73801603774080 is a `hidden beast` number, since 7 + 3 + 8 + 0 + 160 + 3 + 77 + 408 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 287165773312 + ... + 287165773568.

It is an arithmetic number, because the mean of its divisors is an integer number (75831231645).

Almost surely, 2^{73801603774080} is an apocalyptic number.

73801603774080 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 73801603774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174715157710080).

73801603774080 is an abundant number, since it is smaller than the sum of its proper divisors (275628711646080).

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

73801603774080 is a wasteful number, since it uses less digits than its factorization.

73801603774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 73801603774080 in words is "seventy-three trillion, eight hundred one billion, six hundred three million, seven hundred seventy-four thousand, eighty".