472763501440 has 64 divisors (see below), whose sum is σ = 1130693256000. Its totient is φ = 189022910464.

The previous prime is 472763501423. The next prime is 472763501449. The reversal of 472763501440 is 44105367274.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×472763501440³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472763501449) 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 7 ways as a sum of consecutive naturals, for example, 1317801 + ... + 1637719.

It is an arithmetic number, because the mean of its divisors is an integer number (17667082125).

Almost surely, 2^472763501440 is an apocalyptic number.

472763501440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472763501440 is an abundant number, since it is smaller than the sum of its proper divisors (657929754560).

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

472763501440 is a wasteful number, since it uses less digits than its factorization.

472763501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322247 (or 322235 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 472763501440 in words is "four hundred seventy-two billion, seven hundred sixty-three million, five hundred one thousand, four hundred forty".