67773573504 has 640 divisors, whose sum is σ = 256901198400. Its totient is φ = 17251024896.

The previous prime is 67773573431. The next prime is 67773573523. The reversal of 67773573504 is 40537537776.

67773573504 is a `hidden beast` number, since 67 + 7 + 7 + 3 + 5 + 73 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27359914 + ... + 27362390.

Almost surely, 2^67773573504 is an apocalyptic number.

67773573504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67773573504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128450599200).

67773573504 is an abundant number, since it is smaller than the sum of its proper divisors (189127624896).

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

67773573504 is a wasteful number, since it uses less digits than its factorization.

67773573504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 12965400, while the sum is 54.

The spelling of 67773573504 in words is "sixty-seven billion, seven hundred seventy-three million, five hundred seventy-three thousand, five hundred four".