478135707772800 has 6912 divisors, whose sum is σ = 2278277723750400. Its totient is φ = 86884503552000.

The previous prime is 478135707772783. The next prime is 478135707772817. The reversal of 478135707772800 is 8277707531874.

It is an interprime number because it is at equal distance from previous prime (478135707772783) and next prime (478135707772817).

It is a super-2 number, since 2×478135707772800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1331854339021 + ... + 1331854339379.

It is an arithmetic number, because the mean of its divisors is an integer number (329611939200).

Almost surely, 2^{478135707772800} is an apocalyptic number.

478135707772800 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 478135707772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139138861875200).

478135707772800 is an abundant number, since it is smaller than the sum of its proper divisors (1800142015977600).

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

478135707772800 is a wasteful number, since it uses less digits than its factorization.

478135707772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 129077760, while the sum is 66.

The spelling of 478135707772800 in words is "four hundred seventy-eight trillion, one hundred thirty-five billion, seven hundred seven million, seven hundred seventy-two thousand, eight hundred".