477426942720 has 2304 divisors, whose sum is σ = 2215290470400. Its totient is φ = 94675599360.

The previous prime is 477426942701. The next prime is 477426942731. The reversal of 477426942720 is 27249624774.

477426942720 is a `hidden beast` number, since 47 + 74 + 269 + 4 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5752131799 + ... + 5752131881.

It is an arithmetic number, because the mean of its divisors is an integer number (961497600).

Almost surely, 2^477426942720 is an apocalyptic number.

477426942720 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 477426942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107645235200).

477426942720 is an abundant number, since it is smaller than the sum of its proper divisors (1737863527680).

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

477426942720 is a wasteful number, since it uses less digits than its factorization.

477426942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 477426942720 in words is "four hundred seventy-seven billion, four hundred twenty-six million, nine hundred forty-two thousand, seven hundred twenty".