473635693440 has 1536 divisors, whose sum is σ = 2133226368000. Its totient is φ = 99785613312.

The previous prime is 473635693409. The next prime is 473635693441. The reversal of 473635693440 is 44396536374.

It is a happy number.

473635693440 is a `hidden beast` number, since 4 + 7 + 3 + 6 + 3 + 569 + 34 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473635693441) 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 191 ways as a sum of consecutive naturals, for example, 693463339 + ... + 693464021.

It is an arithmetic number, because the mean of its divisors is an integer number (1388819250).

Almost surely, 2^473635693440 is an apocalyptic number.

473635693440 is a gapful number since it is divisible by the number (40) 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 473635693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066613184000).

473635693440 is an abundant number, since it is smaller than the sum of its proper divisors (1659590674560).

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

473635693440 is an equidigital number, since it uses as much as digits as its factorization.

473635693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 473635693440 in words is "four hundred seventy-three billion, six hundred thirty-five million, six hundred ninety-three thousand, four hundred forty".