73686799440 has 320 divisors, whose sum is σ = 262278213120. Its totient is φ = 19000811520.

The previous prime is 73686799429. The next prime is 73686799453. The reversal of 73686799440 is 4499768637.

73686799440 is a `hidden beast` number, since 73 + 68 + 67 + 9 + 9 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13343880 + ... + 13349400.

It is an arithmetic number, because the mean of its divisors is an integer number (819619416).

Almost surely, 2^73686799440 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 73686799440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131139106560).

73686799440 is an abundant number, since it is smaller than the sum of its proper divisors (188591413680).

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

73686799440 is a wasteful number, since it uses less digits than its factorization.

73686799440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 73686799440 in words is "seventy-three billion, six hundred eighty-six million, seven hundred ninety-nine thousand, four hundred forty".