478178495477760 has 1536 divisors, whose sum is σ = 1951297426391040. Its totient is φ = 97076143718400.

The previous prime is 478178495477729. The next prime is 478178495477783. The reversal of 478178495477760 is 67774594871874.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68595391075 + ... + 68595398045.

It is an arithmetic number, because the mean of its divisors is an integer number (1270375928640).

Almost surely, 2^{478178495477760} is an apocalyptic number.

478178495477760 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 478178495477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975648713195520).

478178495477760 is an abundant number, since it is smaller than the sum of its proper divisors (1473118930913280).

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

478178495477760 is a wasteful number, since it uses less digits than its factorization.

478178495477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7683 (or 7663 counting only the distinct ones).

The product of its (nonzero) digits is 18587197440, while the sum is 84.

The spelling of 478178495477760 in words is "four hundred seventy-eight trillion, one hundred seventy-eight billion, four hundred ninety-five million, four hundred seventy-seven thousand, seven hundred sixty".