479406820107600 has 6480 divisors, whose sum is σ = 2361784354091136. Its totient is φ = 88174249574400.

The previous prime is 479406820107571. The next prime is 479406820107643. The reversal of 479406820107600 is 6701028604974.

479406820107600 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 0 + 6 + 8 + 20 + 1 + 0 + 7 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 3499319854732 + ... + 3499319854868.

Almost surely, 2^{479406820107600} is an apocalyptic number.

479406820107600 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 479406820107600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180892177045568).

479406820107600 is an abundant number, since it is smaller than the sum of its proper divisors (1882377533983536).

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

479406820107600 is a wasteful number, since it uses less digits than its factorization.

479406820107600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 479406820107600 in words is "four hundred seventy-nine trillion, four hundred six billion, eight hundred twenty million, one hundred seven thousand, six hundred".