4764283024896 has 320 divisors, whose sum is σ = 14373880012800. Its totient is φ = 1557668044800.

The previous prime is 4764283024883. The next prime is 4764283024901. The reversal of 4764283024896 is 6984203824674.

4764283024896 is a `hidden beast` number, since 4 + 76 + 4 + 2 + 83 + 0 + 2 + 489 + 6 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 375992641 + ... + 376005311.

It is an arithmetic number, because the mean of its divisors is an integer number (44918375040).

Almost surely, 2^{4764283024896} 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 4764283024896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186940006400).

4764283024896 is an abundant number, since it is smaller than the sum of its proper divisors (9609596987904).

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

4764283024896 is a wasteful number, since it uses less digits than its factorization.

4764283024896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13218 (or 13196 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 4764283024896 in words is "four trillion, seven hundred sixty-four billion, two hundred eighty-three million, twenty-four thousand, eight hundred ninety-six".