427976464944 has 320 divisors, whose sum is σ = 1332107596800. Its totient is φ = 115820457984.

The previous prime is 427976464921. The next prime is 427976464967. The reversal of 427976464944 is 449464679724.

It is an interprime number because it is at equal distance from previous prime (427976464921) and next prime (427976464967).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175614894 + ... + 175617330.

It is an arithmetic number, because the mean of its divisors is an integer number (4162836240).

Almost surely, 2^427976464944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427976464944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666053798400).

427976464944 is an abundant number, since it is smaller than the sum of its proper divisors (904131131856).

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

427976464944 is a wasteful number, since it uses less digits than its factorization.

427976464944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2814 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 66.

The spelling of 427976464944 in words is "four hundred twenty-seven billion, nine hundred seventy-six million, four hundred sixty-four thousand, nine hundred forty-four".