73111034880 has 792 divisors, whose sum is σ = 284118621696. Its totient is φ = 17278894080.

The previous prime is 73111034879. The next prime is 73111034993. The reversal of 73111034880 is 8843011137.

73111034880 is a `hidden beast` number, since 73 + 1 + 1 + 103 + 488 + 0 = 666.

It is a super-2 number, since 2×73111034880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 575677377 + ... + 575677503.

Almost surely, 2^73111034880 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 73111034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142059310848).

73111034880 is an abundant number, since it is smaller than the sum of its proper divisors (211007586816).

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

73111034880 is a wasteful number, since it uses less digits than its factorization.

73111034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 73111034880 in words is "seventy-three billion, one hundred eleven million, thirty-four thousand, eight hundred eighty".