477322942711680 has 3072 divisors, whose sum is σ = 1956794112000000. Its totient is φ = 109601259356160.

The previous prime is 477322942711669. The next prime is 477322942711691. The reversal of 477322942711680 is 86117249223774.

It is a happy number.

477322942711680 is a `hidden beast` number, since 4 + 7 + 73 + 2 + 29 + 427 + 116 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (477322942711669) and next prime (477322942711691).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1534800458725 + ... + 1534800459035.

It is an arithmetic number, because the mean of its divisors is an integer number (636977250000).

Almost surely, 2^{477322942711680} is an apocalyptic number.

477322942711680 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 477322942711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978397056000000).

477322942711680 is an abundant number, since it is smaller than the sum of its proper divisors (1479471169288320).

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

477322942711680 is a wasteful number, since it uses less digits than its factorization.

477322942711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 477322942711680 in words is "four hundred seventy-seven trillion, three hundred twenty-two billion, nine hundred forty-two million, seven hundred eleven thousand, six hundred eighty".