476331688881720 has 384 divisors, whose sum is σ = 1846989846374400. Its totient is φ = 104094996268032.

The previous prime is 476331688881673. The next prime is 476331688881721. The reversal of 476331688881720 is 27188886133674.

476331688881720 is a `hidden beast` number, since 4 + 7 + 63 + 316 + 8 + 8 + 88 + 172 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476331688881721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126408661 + ... + 130122299.

It is an arithmetic number, because the mean of its divisors is an integer number (4809869391600).

Almost surely, 2^{476331688881720} is an apocalyptic number.

476331688881720 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 476331688881720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923494923187200).

476331688881720 is an abundant number, since it is smaller than the sum of its proper divisors (1370658157492680).

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

476331688881720 is a wasteful number, since it uses less digits than its factorization.

476331688881720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715899 (or 3715892 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 476331688881720 in words is "four hundred seventy-six trillion, three hundred thirty-one billion, six hundred eighty-eight million, eight hundred eighty-one thousand, seven hundred twenty".