478793783381760 has 3456 divisors, whose sum is σ = 2199403673026560. Its totient is φ = 93266598297600.

The previous prime is 478793783381729. The next prime is 478793783381783. The reversal of 478793783381760 is 67183387397874.

478793783381760 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 93 + 7 + 83 + 381 + 76 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 478793783381760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 158383651609 + ... + 158383654631.

It is an arithmetic number, because the mean of its divisors is an integer number (636401525760).

Almost surely, 2^{478793783381760} is an apocalyptic number.

478793783381760 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 478793783381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099701836513280).

478793783381760 is an abundant number, since it is smaller than the sum of its proper divisors (1720609889644800).

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

478793783381760 is a wasteful number, since it uses less digits than its factorization.

478793783381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 7169347584, while the sum is 81.

The spelling of 478793783381760 in words is "four hundred seventy-eight trillion, seven hundred ninety-three billion, seven hundred eighty-three million, three hundred eighty-one thousand, seven hundred sixty".