73233474476976 has 240 divisors, whose sum is σ = 233205347250720. Its totient is φ = 21426720268800.

The previous prime is 73233474476971. The next prime is 73233474476993. The reversal of 73233474476976 is 67967447433237.

73233474476976 is a `hidden beast` number, since 7 + 3 + 23 + 3 + 47 + 4 + 476 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (73233474476971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029555 + ... + 12146066.

It is an arithmetic number, because the mean of its divisors is an integer number (971688946878).

Almost surely, 2^{73233474476976} 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 73233474476976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116602673625360).

73233474476976 is an abundant number, since it is smaller than the sum of its proper divisors (159971872773744).

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

73233474476976 is a wasteful number, since it uses less digits than its factorization.

73233474476976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13175697 (or 13175666 counting only the distinct ones).

The product of its digits is 2688505344, while the sum is 72.

The spelling of 73233474476976 in words is "seventy-three trillion, two hundred thirty-three billion, four hundred seventy-four million, four hundred seventy-six thousand, nine hundred seventy-six".