73641173760 has 576 divisors, whose sum is σ = 325818178560. Its totient is φ = 15301509120.

The previous prime is 73641173759. The next prime is 73641173761. The reversal of 73641173760 is 6737114637.

It is an interprime number because it is at equal distance from previous prime (73641173759) and next prime (73641173761).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (73641173761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2647284 + ... + 2674956.

It is an arithmetic number, because the mean of its divisors is an integer number (565656560).

Almost surely, 2^73641173760 is an apocalyptic number.

73641173760 is a gapful number since it is divisible by the number (70) 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 73641173760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162909089280).

73641173760 is an abundant number, since it is smaller than the sum of its proper divisors (252177004800).

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

73641173760 is a wasteful number, since it uses less digits than its factorization.

73641173760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27721 (or 27701 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 73641173760 in words is "seventy-three billion, six hundred forty-one million, one hundred seventy-three thousand, seven hundred sixty".