73640355168 has 144 divisors (see below), whose sum is σ = 206666643456. Its totient is φ = 22935037440.

The previous prime is 73640355161. The next prime is 73640355221. The reversal of 73640355168 is 86155304637.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73640355161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2488105 + ... + 2517527.

It is an arithmetic number, because the mean of its divisors is an integer number (1435185024).

Almost surely, 2^73640355168 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 73640355168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103333321728).

73640355168 is an abundant number, since it is smaller than the sum of its proper divisors (133026288288).

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

73640355168 is a wasteful number, since it uses less digits than its factorization.

73640355168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29525 (or 29488 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 73640355168 in words is "seventy-three billion, six hundred forty million, three hundred fifty-five thousand, one hundred sixty-eight".