483924639744 has 960 divisors, whose sum is σ = 1832070240000. Its totient is φ = 122079412224.

The previous prime is 483924639733. The next prime is 483924639763. The reversal of 483924639744 is 447936429384.

It is a happy number.

483924639744 is a `hidden beast` number, since 4 + 83 + 9 + 2 + 463 + 97 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (125411328) is a multiple of the sum of its prime divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21040201717 + ... + 21040201739.

It is an arithmetic number, because the mean of its divisors is an integer number (1908406500).

Almost surely, 2^483924639744 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 483924639744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916035120000).

483924639744 is an abundant number, since it is smaller than the sum of its proper divisors (1348145600256).

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

483924639744 is an frugal number, since it uses more digits than its factorization.

483924639744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 48 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 483924639744 in words is "four hundred eighty-three billion, nine hundred twenty-four million, six hundred thirty-nine thousand, seven hundred forty-four".