483302816640 has 768 divisors, whose sum is σ = 2041909309440. Its totient is φ = 106898227200.

The previous prime is 483302816629. The next prime is 483302816651. The reversal of 483302816640 is 46618203384.

483302816640 is a `hidden beast` number, since 483 + 3 + 0 + 2 + 8 + 166 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (483302816629) and next prime (483302816651).

It is a super-2 number, since 2×483302816640² (a number of 24 digits) contains 22 as substring.

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, 33740680 + ... + 33755000.

It is an arithmetic number, because the mean of its divisors is an integer number (2658736080).

Almost surely, 2^483302816640 is an apocalyptic number.

483302816640 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 483302816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020954654720).

483302816640 is an abundant number, since it is smaller than the sum of its proper divisors (1558606492800).

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

483302816640 is a wasteful number, since it uses less digits than its factorization.

483302816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14393 (or 14369 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 483302816640 in words is "four hundred eighty-three billion, three hundred two million, eight hundred sixteen thousand, six hundred forty".