73378754499600 has 405 divisors, whose sum is σ = 279920244243549. Its totient is φ = 17787418387200.

The previous prime is 73378754499593. The next prime is 73378754499601. The reversal of 73378754499600 is 699445787337.

The square root of 73378754499600 is 8566140.

It is a perfect power (a square), and thus also a powerful number.

73378754499600 is a `hidden beast` number, since 7 + 3 + 3 + 7 + 8 + 7 + 5 + 4 + 4 + 9 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26416351619856 + 46962402879744 = 5139684^2 + 6852912^2 .

It is a super-2 number, since 2×73378754499600² (a number of 29 digits) contains 22 as substring.

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 (73378754499601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5653645911 + ... + 5653658889.

Almost surely, 2^{73378754499600} is an apocalyptic number.

73378754499600 is the 8566140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73378754499600

73378754499600 is an abundant number, since it is smaller than the sum of its proper divisors (206541489743949).

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

73378754499600 is a wasteful number, since it uses less digits than its factorization.

73378754499600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26004 (or 13000 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

The spelling of 73378754499600 in words is "seventy-three trillion, three hundred seventy-eight billion, seven hundred fifty-four million, four hundred ninety-nine thousand, six hundred".