73407080876864 has 224 divisors, whose sum is σ = 179343894352896. Its totient is φ = 29096144732160.

The previous prime is 73407080876719. The next prime is 73407080876869. The reversal of 73407080876864 is 46867808070437.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 73407080876794 and 73407080876803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73407080876869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150423722 + ... + 150910934.

It is an arithmetic number, because the mean of its divisors is an integer number (800642385504).

Almost surely, 2^{73407080876864} 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 73407080876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89671947176448).

73407080876864 is an abundant number, since it is smaller than the sum of its proper divisors (105936813476032).

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

73407080876864 is a wasteful number, since it uses less digits than its factorization.

73407080876864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487593 (or 487583 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 68.

The spelling of 73407080876864 in words is "seventy-three trillion, four hundred seven billion, eighty million, eight hundred seventy-six thousand, eight hundred sixty-four".