73133714678400 has 2304 divisors, whose sum is σ = 289208609464320. Its totient is φ = 18215995392000.

The previous prime is 73133714678351. The next prime is 73133714678407. The reversal of 73133714678400 is 487641733137.

73133714678400 is a `hidden beast` number, since 7 + 3 + 1 + 33 + 71 + 467 + 84 + 0 + 0 = 666.

73133714678400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (73133714678407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 148948502155 + ... + 148948502645.

It is an arithmetic number, because the mean of its divisors is an integer number (125524570080).

Almost surely, 2^{73133714678400} 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 73133714678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144604304732160).

73133714678400 is an abundant number, since it is smaller than the sum of its proper divisors (216074894785920).

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

73133714678400 is a wasteful number, since it uses less digits than its factorization.

73133714678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 73133714678400 in words is "seventy-three trillion, one hundred thirty-three billion, seven hundred fourteen million, six hundred seventy-eight thousand, four hundred".