427719456000 has 864 divisors, whose sum is σ = 1641511872000. Its totient is φ = 106566451200.

The previous prime is 427719455939. The next prime is 427719456013. The reversal of 427719456000 is 654917724.

427719456000 is a `hidden beast` number, since 4 + 2 + 77 + 19 + 4 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 974303781 + ... + 974304219.

It is an arithmetic number, because the mean of its divisors is an integer number (1899898000).

Almost surely, 2^427719456000 is an apocalyptic number.

427719456000 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 427719456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820755936000).

427719456000 is an abundant number, since it is smaller than the sum of its proper divisors (1213792416000).

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

427719456000 is a wasteful number, since it uses less digits than its factorization.

427719456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 427719456000 in words is "four hundred twenty-seven billion, seven hundred nineteen million, four hundred fifty-six thousand".