73733770368 has 128 divisors (see below), whose sum is σ = 220682793600. Its totient is φ = 24231674880.

The previous prime is 73733770367. The next prime is 73733770399. The reversal of 73733770368 is 86307733737.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (73733770367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 95130 + ... + 395622.

It is an arithmetic number, because the mean of its divisors is an integer number (1724084325).

Almost surely, 2^73733770368 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 73733770368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110341396800).

73733770368 is an abundant number, since it is smaller than the sum of its proper divisors (146949023232).

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

73733770368 is a wasteful number, since it uses less digits than its factorization.

73733770368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300587 (or 300569 counting only the distinct ones).

The product of its (nonzero) digits is 9335088, while the sum is 54.

The spelling of 73733770368 in words is "seventy-three billion, seven hundred thirty-three million, seven hundred seventy thousand, three hundred sixty-eight".