73456723665864 has 512 divisors, whose sum is σ = 265496693760000. Its totient is φ = 18247337856000.

The previous prime is 73456723665847. The next prime is 73456723665869. The reversal of 73456723665864 is 46856632765437.

73456723665864 is a `hidden beast` number, since 7 + 3 + 4 + 5 + 6 + 7 + 2 + 36 + 6 + 586 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 73456723665792 and 73456723665801.

It is not an unprimeable number, because it can be changed into a prime (73456723665869) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3805841014 + ... + 3805860314.

It is an arithmetic number, because the mean of its divisors is an integer number (518548230000).

Almost surely, 2^{73456723665864} 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 73456723665864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132748346880000).

73456723665864 is an abundant number, since it is smaller than the sum of its proper divisors (192039970094136).

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

73456723665864 is a wasteful number, since it uses less digits than its factorization.

73456723665864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29306 (or 29296 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 72.

The spelling of 73456723665864 in words is "seventy-three trillion, four hundred fifty-six billion, seven hundred twenty-three million, six hundred sixty-five thousand, eight hundred sixty-four".