478077583104 has 720 divisors, whose sum is σ = 1614056209920. Its totient is φ = 139485265920.

The previous prime is 478077583103. The next prime is 478077583127. The reversal of 478077583104 is 401385770874.

478077583104 is a `hidden beast` number, since 47 + 8 + 0 + 7 + 7 + 583 + 10 + 4 = 666.

It is a super-3 number, since 3×478077583104³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478077583103) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 774841804 + ... + 774842420.

It is an arithmetic number, because the mean of its divisors is an integer number (2241744736).

Almost surely, 2^478077583104 is an apocalyptic number.

478077583104 is a gapful number since it is divisible by the number (44) 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 478077583104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807028104960).

478077583104 is an abundant number, since it is smaller than the sum of its proper divisors (1135978626816).

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

478077583104 is a wasteful number, since it uses less digits than its factorization.

478077583104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 478077583104 in words is "four hundred seventy-eight billion, seventy-seven million, five hundred eighty-three thousand, one hundred four".