73476672942528 has 336 divisors, whose sum is σ = 218853939691296. Its totient is φ = 23550915870720.

The previous prime is 73476672942527. The next prime is 73476672942551. The reversal of 73476672942528 is 82524927667437.

73476672942528 is a `hidden beast` number, since 7 + 3 + 4 + 7 + 6 + 6 + 7 + 2 + 94 + 2 + 528 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73476672942527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2573869951 + ... + 2573898497.

It is an arithmetic number, because the mean of its divisors is an integer number (651351010986).

Almost surely, 2^{73476672942528} 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 73476672942528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109426969845648).

73476672942528 is an abundant number, since it is smaller than the sum of its proper divisors (145377266748768).

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

73476672942528 is a wasteful number, since it uses less digits than its factorization.

73476672942528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30172 (or 30159 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 72.

The spelling of 73476672942528 in words is "seventy-three trillion, four hundred seventy-six billion, six hundred seventy-two million, nine hundred forty-two thousand, five hundred twenty-eight".