476164729440 has 192 divisors, whose sum is σ = 1676212574400. Its totient is φ = 126243090432.

The previous prime is 476164729423. The next prime is 476164729451. The reversal of 476164729440 is 44927461674.

It is a happy number.

476164729440 is a `hidden beast` number, since 4 + 76 + 1 + 64 + 72 + 9 + 440 = 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 31 ways as a sum of consecutive naturals, for example, 428796 + ... + 1065924.

It is an arithmetic number, because the mean of its divisors is an integer number (8730273825).

Almost surely, 2^476164729440 is an apocalyptic number.

476164729440 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 476164729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838106287200).

476164729440 is an abundant number, since it is smaller than the sum of its proper divisors (1200047844960).

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

476164729440 is a wasteful number, since it uses less digits than its factorization.

476164729440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637326 (or 637312 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

It can be divided in two parts, 476164 and 729440, that added together give a square (1205604 = 1098²).

The spelling of 476164729440 in words is "four hundred seventy-six billion, one hundred sixty-four million, seven hundred twenty-nine thousand, four hundred forty".