427830926760 has 256 divisors, whose sum is σ = 1460890080000. Its totient is φ = 111333629952.

The previous prime is 427830926741. The next prime is 427830926801. The reversal of 427830926760 is 67629038724.

427830926760 is a `hidden beast` number, since 4 + 2 + 78 + 309 + 267 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 427830926697 and 427830926706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8705136 + ... + 8754144.

It is an arithmetic number, because the mean of its divisors is an integer number (5706601875).

Almost surely, 2^427830926760 is an apocalyptic number.

427830926760 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 427830926760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730445040000).

427830926760 is an abundant number, since it is smaller than the sum of its proper divisors (1033059153240).

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

427830926760 is a wasteful number, since it uses less digits than its factorization.

427830926760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49225 (or 49215 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 427830926760 in words is "four hundred twenty-seven billion, eight hundred thirty million, nine hundred twenty-six thousand, seven hundred sixty".