477493632000 has 1584 divisors, whose sum is σ = 2186415110880. Its totient is φ = 99090432000.

The previous prime is 477493631969. The next prime is 477493632001. The reversal of 477493632000 is 236394774.

477493632000 is a `hidden beast` number, since 4 + 7 + 7 + 4 + 9 + 3 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477493632001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 620927616 + ... + 620928384.

It is an arithmetic number, because the mean of its divisors is an integer number (1380312570).

Almost surely, 2^477493632000 is an apocalyptic number.

477493632000 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 477493632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093207555440).

477493632000 is an abundant number, since it is smaller than the sum of its proper divisors (1708921478880).

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

477493632000 is a wasteful number, since it uses less digits than its factorization.

477493632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 477493632000 in words is "four hundred seventy-seven billion, four hundred ninety-three million, six hundred thirty-two thousand".