73412697600 has 1200 divisors, whose sum is σ = 305569723536. Its totient is φ = 17252352000.

The previous prime is 73412697563. The next prime is 73412697607. The reversal of 73412697600 is 679621437.

73412697600 is a `hidden beast` number, since 7 + 34 + 1 + 2 + 6 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73412697607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 467596722 + ... + 467596878.

Almost surely, 2^73412697600 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 73412697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152784861768).

73412697600 is an abundant number, since it is smaller than the sum of its proper divisors (232157025936).

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

73412697600 is a wasteful number, since it uses less digits than its factorization.

73412697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 73412697600 in words is "seventy-three billion, four hundred twelve million, six hundred ninety-seven thousand, six hundred".