73097755776 has 256 divisors, whose sum is σ = 230307840000. Its totient is φ = 22756930560.

The previous prime is 73097755763. The next prime is 73097755823. The reversal of 73097755776 is 67755779037.

73097755776 is a `hidden beast` number, since 7 + 3 + 0 + 9 + 7 + 7 + 557 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4654305 + ... + 4669983.

It is an arithmetic number, because the mean of its divisors is an integer number (899640000).

Almost surely, 2^73097755776 is an apocalyptic number.

73097755776 is a gapful number since it is divisible by the number (76) 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 73097755776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920000).

73097755776 is an abundant number, since it is smaller than the sum of its proper divisors (157210084224).

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

73097755776 is a wasteful number, since it uses less digits than its factorization.

73097755776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15792 (or 15774 counting only the distinct ones).

The product of its (nonzero) digits is 68068350, while the sum is 63.

The spelling of 73097755776 in words is "seventy-three billion, ninety-seven million, seven hundred fifty-five thousand, seven hundred seventy-six".