73681779600 has 1920 divisors, whose sum is σ = 338911641600. Its totient is φ = 15116544000.

The previous prime is 73681779557. The next prime is 73681779607. The reversal of 73681779600 is 697718637.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73681779607) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2376831585 + ... + 2376831615.

It is an arithmetic number, because the mean of its divisors is an integer number (176516480).

Almost surely, 2^73681779600 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 73681779600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169455820800).

73681779600 is an abundant number, since it is smaller than the sum of its proper divisors (265229862000).

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

73681779600 is a wasteful number, since it uses less digits than its factorization.

73681779600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 73681779600 in words is "seventy-three billion, six hundred eighty-one million, seven hundred seventy-nine thousand, six hundred".