73641467400 has 96 divisors (see below), whose sum is σ = 229268763360. Its totient is φ = 19553405440.

The previous prime is 73641467381. The next prime is 73641467407. The reversal of 73641467400 is 476414637.

It is not an unprimeable number, because it can be changed into a prime (73641467407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 123582 + ... + 403181.

It is an arithmetic number, because the mean of its divisors is an integer number (2388216285).

Almost surely, 2^73641467400 is an apocalyptic number.

It is an amenable number.

73641467400 is an abundant number, since it is smaller than the sum of its proper divisors (155627295960).

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

73641467400 is a wasteful number, since it uses less digits than its factorization.

73641467400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527015 (or 527006 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 73641467400 in words is "seventy-three billion, six hundred forty-one million, four hundred sixty-seven thousand, four hundred".