73769064400 has 30 divisors (see below), whose sum is σ = 177230178182. Its totient is φ = 29507625600.

The previous prime is 73769064373. The next prime is 73769064419. The reversal of 73769064400 is 446096737.

It can be written as a sum of positive squares in 3 ways, for example, as 475414416 + 73293649984 = 21804^2 + 270728^2 .

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 5 ways as a sum of consecutive naturals, for example, 92210931 + ... + 92211730.

Almost surely, 2^73769064400 is an apocalyptic number.

It is an amenable number.

73769064400 is an abundant number, since it is smaller than the sum of its proper divisors (103461113782).

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

73769064400 is a wasteful number, since it uses less digits than its factorization.

73769064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184422679 (or 184422668 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 46.

The spelling of 73769064400 in words is "seventy-three billion, seven hundred sixty-nine million, sixty-four thousand, four hundred".