73667561118720 has 704 divisors, whose sum is σ = 262759685253120. Its totient is φ = 17506136752128.

The previous prime is 73667561118667. The next prime is 73667561118721. The reversal of 73667561118720 is 2781116576637.

It is a super-2 number, since 2×73667561118720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73667561118721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12685990057 + ... + 12685995863.

It is an arithmetic number, because the mean of its divisors is an integer number (373238189280).

Almost surely, 2^{73667561118720} 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 73667561118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131379842626560).

73667561118720 is an abundant number, since it is smaller than the sum of its proper divisors (189092124134400).

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

73667561118720 is a wasteful number, since it uses less digits than its factorization.

73667561118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8428 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 73667561118720 in words is "seventy-three trillion, six hundred sixty-seven billion, five hundred sixty-one million, one hundred eighteen thousand, seven hundred twenty".