73229764608 has 1344 divisors, whose sum is σ = 300776112000. Its totient is φ = 17557585920.

The previous prime is 73229764589. The next prime is 73229764649. The reversal of 73229764608 is 80646792237.

73229764608 is a `hidden beast` number, since 7 + 3 + 2 + 29 + 7 + 6 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5633058810 + ... + 5633058822.

It is an arithmetic number, because the mean of its divisors is an integer number (223791750).

Almost surely, 2^73229764608 is an apocalyptic number.

73229764608 is a gapful number since it is divisible by the number (78) 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 73229764608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150388056000).

73229764608 is an abundant number, since it is smaller than the sum of its proper divisors (227546347392).

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

73229764608 is an equidigital number, since it uses as much as digits as its factorization.

73229764608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 73229764608 in words is "seventy-three billion, two hundred twenty-nine million, seven hundred sixty-four thousand, six hundred eight".