477673773366400 has 192 divisors, whose sum is σ = 1271736575524800. Its totient is φ = 176238118195200.

The previous prime is 477673773366359. The next prime is 477673773366479. The reversal of 477673773366400 is 4663377376774.

It is a self number, because there is not a number n which added to its sum of digits gives 477673773366400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50517655 + ... + 59223145.

It is an arithmetic number, because the mean of its divisors is an integer number (6623627997525).

Almost surely, 2^{477673773366400} is an apocalyptic number.

477673773366400 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 477673773366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635868287762400).

477673773366400 is an abundant number, since it is smaller than the sum of its proper divisors (794062802158400).

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

477673773366400 is a wasteful number, since it uses less digits than its factorization.

477673773366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8706847 (or 8706830 counting only the distinct ones).

The product of its (nonzero) digits is 1568294784, while the sum is 70.

The spelling of 477673773366400 in words is "four hundred seventy-seven trillion, six hundred seventy-three billion, seven hundred seventy-three million, three hundred sixty-six thousand, four hundred".