476381473827840 has 2816 divisors, whose sum is σ = 2036190058291200. Its totient is φ = 103360720011264.

The previous prime is 476381473827829. The next prime is 476381473827851. The reversal of 476381473827840 is 48728374183674.

It is a happy number.

476381473827840 is a `hidden beast` number, since 4 + 7 + 6 + 3 + 8 + 1 + 473 + 82 + 78 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (476381473827829) and next prime (476381473827851).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 253529256021 + ... + 253529257899.

Almost surely, 2^{476381473827840} is an apocalyptic number.

476381473827840 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 476381473827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018095029145600).

476381473827840 is an abundant number, since it is smaller than the sum of its proper divisors (1559808584463360).

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

476381473827840 is a wasteful number, since it uses less digits than its factorization.

476381473827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 1213857792, while the sum is 72.

The spelling of 476381473827840 in words is "four hundred seventy-six trillion, three hundred eighty-one billion, four hundred seventy-three million, eight hundred twenty-seven thousand, eight hundred forty".