477143925258672 has 600 divisors, whose sum is σ = 1573058772370800. Its totient is φ = 134993437996032.

The previous prime is 477143925258631. The next prime is 477143925258691. The reversal of 477143925258672 is 276852529341774.

477143925258672 is a `hidden beast` number, since 4 + 7 + 7 + 1 + 4 + 3 + 92 + 525 + 8 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×477143925258672² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 477143925258672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88147775838 + ... + 88147781250.

It is an arithmetic number, because the mean of its divisors is an integer number (2621764620618).

Almost surely, 2^{477143925258672} is an apocalyptic number.

477143925258672 is a gapful number since it is divisible by the number (42) 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 477143925258672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786529386185400).

477143925258672 is an abundant number, since it is smaller than the sum of its proper divisors (1095914847112128).

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

477143925258672 is a wasteful number, since it uses less digits than its factorization.

477143925258672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7903 (or 7873 counting only the distinct ones).

The product of its digits is 1422489600, while the sum is 72.

The spelling of 477143925258672 in words is "four hundred seventy-seven trillion, one hundred forty-three billion, nine hundred twenty-five million, two hundred fifty-eight thousand, six hundred seventy-two".