73634365440 has 540 divisors, whose sum is σ = 266996918916. Its totient is φ = 19492503552.

The previous prime is 73634365391. The next prime is 73634365457. The reversal of 73634365440 is 4456343637.

73634365440 is a `hidden beast` number, since 7 + 3 + 63 + 43 + 6 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34828517376 + 38805848064 = 186624^2 + 196992^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 537477052 + ... + 537477188.

Almost surely, 2^73634365440 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 73634365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133498459458).

73634365440 is an abundant number, since it is smaller than the sum of its proper divisors (193362553476).

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

73634365440 is an frugal number, since it uses more digits than its factorization.

73634365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 73634365440 in words is "seventy-three billion, six hundred thirty-four million, three hundred sixty-five thousand, four hundred forty".