73649535697440 has 288 divisors, whose sum is σ = 254802945196800. Its totient is φ = 19368476725248.

The previous prime is 73649535697433. The next prime is 73649535697447. The reversal of 73649535697440 is 4479653594637.

73649535697440 is a `hidden beast` number, since 7 + 3 + 6 + 4 + 9 + 53 + 569 + 7 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73649535697433) and next prime (73649535697447).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (73649535697447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966960799 + ... + 967036961.

It is an arithmetic number, because the mean of its divisors is an integer number (884732448600).

Almost surely, 2^{73649535697440} 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 73649535697440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127401472598400).

73649535697440 is an abundant number, since it is smaller than the sum of its proper divisors (181153409499360).

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

73649535697440 is a wasteful number, since it uses less digits than its factorization.

73649535697440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85456 (or 85445 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 72.

The spelling of 73649535697440 in words is "seventy-three trillion, six hundred forty-nine billion, five hundred thirty-five million, six hundred ninety-seven thousand, four hundred forty".