73145318400 has 2376 divisors, whose sum is σ = 361126172160. Its totient is φ = 13934592000.

The previous prime is 73145318371. The next prime is 73145318401. The reversal of 73145318400 is 481354137.

It is a happy number.

73145318400 is a `hidden beast` number, since 73 + 14 + 531 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73145318401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2359526385 + ... + 2359526415.

Almost surely, 2^73145318400 is an apocalyptic number.

73145318400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73145318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180563086080).

73145318400 is an abundant number, since it is smaller than the sum of its proper divisors (287980853760).

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

73145318400 is a wasteful number, since it uses less digits than its factorization.

73145318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 73145318400 in words is "seventy-three billion, one hundred forty-five million, three hundred eighteen thousand, four hundred".