73000629585408 has 960 divisors, whose sum is σ = 246907097648640. Its totient is φ = 18715903524864.

The previous prime is 73000629585407. The next prime is 73000629585451. The reversal of 73000629585408 is 80458592600037.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73000629585407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9105725016 + ... + 9105733032.

It is an arithmetic number, because the mean of its divisors is an integer number (257194893384).

Almost surely, 2^{73000629585408} 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 73000629585408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123453548824320).

73000629585408 is an abundant number, since it is smaller than the sum of its proper divisors (173906468063232).

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

73000629585408 is a wasteful number, since it uses less digits than its factorization.

73000629585408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8175 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 73000629585408 in words is "seventy-three trillion, six hundred twenty-nine million, five hundred eighty-five thousand, four hundred eight".