73906712110080 has 528 divisors, whose sum is σ = 258921947381760. Its totient is φ = 19491100360704.

The previous prime is 73906712110079. The next prime is 73906712110109. The reversal of 73906712110080 is 8001121760937.

73906712110080 is a `hidden beast` number, since 7 + 390 + 6 + 71 + 2 + 110 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1855114801 + ... + 1855154639.

Almost surely, 2^{73906712110080} 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 73906712110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129460973690880).

73906712110080 is an abundant number, since it is smaller than the sum of its proper divisors (185015235271680).

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

73906712110080 is a wasteful number, since it uses less digits than its factorization.

73906712110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40314 (or 40293 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 73906712110080 in words is "seventy-three trillion, nine hundred six billion, seven hundred twelve million, one hundred ten thousand, eighty".