427797478080 has 896 divisors, whose sum is σ = 1774312488960. Its totient is φ = 94999080960.

The previous prime is 427797478013. The next prime is 427797478081. The reversal of 427797478080 is 80874797724.

427797478080 is a `hidden beast` number, since 4 + 2 + 77 + 97 + 478 + 0 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 427797477999 and 427797478017.

It is not an unprimeable number, because it can be changed into a prime (427797478081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 704773137 + ... + 704773743.

Almost surely, 2^427797478080 is an apocalyptic number.

427797478080 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 427797478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887156244480).

427797478080 is an abundant number, since it is smaller than the sum of its proper divisors (1346515010880).

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

427797478080 is a wasteful number, since it uses less digits than its factorization.

427797478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 427797478080 in words is "four hundred twenty-seven billion, seven hundred ninety-seven million, four hundred seventy-eight thousand, eighty".