73542693600 has 864 divisors, whose sum is σ = 285937011360. Its totient is φ = 17712414720.

The previous prime is 73542693589. The next prime is 73542693611. The reversal of 73542693600 is 639624537.

73542693600 is a `hidden beast` number, since 7 + 35 + 4 + 2 + 6 + 9 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (73542693589) and next prime (73542693611).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 468424722 + ... + 468424878.

It is an arithmetic number, because the mean of its divisors is an integer number (330945615).

Almost surely, 2^73542693600 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 73542693600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142968505680).

73542693600 is an abundant number, since it is smaller than the sum of its proper divisors (212394317760).

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

73542693600 is a wasteful number, since it uses less digits than its factorization.

73542693600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 73542693600 in words is "seventy-three billion, five hundred forty-two million, six hundred ninety-three thousand, six hundred".