73676110816 has 288 divisors, whose sum is σ = 190312851456. Its totient is φ = 27247104000.

The previous prime is 73676110813. The next prime is 73676110831. The reversal of 73676110816 is 61801167637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73676110811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407050246 + ... + 407050426.

It is an arithmetic number, because the mean of its divisors is an integer number (660808512).

Almost surely, 2^73676110816 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 73676110816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95156425728).

73676110816 is an abundant number, since it is smaller than the sum of its proper divisors (116636740640).

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

73676110816 is a wasteful number, since it uses less digits than its factorization.

73676110816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 73676110816 in words is "seventy-three billion, six hundred seventy-six million, one hundred ten thousand, eight hundred sixteen".