73279995669504 has 528 divisors, whose sum is σ = 233011604367360. Its totient is φ = 22040229150720.

The previous prime is 73279995669499. The next prime is 73279995669527. The reversal of 73279995669504 is 40596659997237.

73279995669504 is a `hidden beast` number, since 7 + 32 + 79 + 9 + 9 + 5 + 6 + 6 + 9 + 504 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4724381109 + ... + 4724396619.

Almost surely, 2^{73279995669504} 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 73279995669504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116505802183680).

73279995669504 is an abundant number, since it is smaller than the sum of its proper divisors (159731608697856).

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

73279995669504 is a wasteful number, since it uses less digits than its factorization.

73279995669504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16436 (or 16415 counting only the distinct ones).

The product of its (nonzero) digits is 6944162400, while the sum is 81.

The spelling of 73279995669504 in words is "seventy-three trillion, two hundred seventy-nine billion, nine hundred ninety-five million, six hundred sixty-nine thousand, five hundred four".