477627370536960 has 3584 divisors, whose sum is σ = 2094293585548800. Its totient is φ = 102094853898240.

The previous prime is 477627370536917. The next prime is 477627370536997. The reversal of 477627370536960 is 69635073726774.

477627370536960 is a `hidden beast` number, since 4 + 7 + 7 + 6 + 27 + 3 + 7 + 0 + 536 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1699741532020 + ... + 1699741532300.

Almost surely, 2^{477627370536960} is an apocalyptic number.

477627370536960 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 477627370536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047146792774400).

477627370536960 is an abundant number, since it is smaller than the sum of its proper divisors (1616666215011840).

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

477627370536960 is an equidigital number, since it uses as much as digits as its factorization.

477627370536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1680315840, while the sum is 72.

The spelling of 477627370536960 in words is "four hundred seventy-seven trillion, six hundred twenty-seven billion, three hundred seventy million, five hundred thirty-six thousand, nine hundred sixty".