476228075742720 has 1920 divisors, whose sum is σ = 2095090644366720. Its totient is φ = 101880818565120.

The previous prime is 476228075742689. The next prime is 476228075742763. The reversal of 476228075742720 is 27247570822674.

476228075742720 is a `hidden beast` number, since 4 + 7 + 6 + 228 + 0 + 75 + 74 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×476228075742720² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 10421406912 + ... + 10421452608.

It is an arithmetic number, because the mean of its divisors is an integer number (1091193043941).

Almost surely, 2^{476228075742720} is an apocalyptic number.

476228075742720 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 476228075742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047545322183360).

476228075742720 is an abundant number, since it is smaller than the sum of its proper divisors (1618862568624000).

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

476228075742720 is a wasteful number, since it uses less digits than its factorization.

476228075742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45941 (or 45912 counting only the distinct ones).

The product of its (nonzero) digits is 147517440, while the sum is 63.

The spelling of 476228075742720 in words is "four hundred seventy-six trillion, two hundred twenty-eight billion, seventy-five million, seven hundred forty-two thousand, seven hundred twenty".