4785207632640 has 864 divisors, whose sum is σ = 18291722641920. Its totient is φ = 1193581412352.

The previous prime is 4785207632633. The next prime is 4785207632651. The reversal of 4785207632640 is 462367025874.

4785207632640 is a `hidden beast` number, since 4 + 7 + 8 + 520 + 76 + 3 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×4785207632640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 883039851 + ... + 883045269.

It is an arithmetic number, because the mean of its divisors is an integer number (21170975280).

Almost surely, 2^{4785207632640} is an apocalyptic number.

4785207632640 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 4785207632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9145861320960).

4785207632640 is an abundant number, since it is smaller than the sum of its proper divisors (13506515009280).

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

4785207632640 is a wasteful number, since it uses less digits than its factorization.

4785207632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5639 (or 5613 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 4785207632640 in words is "four trillion, seven hundred eighty-five billion, two hundred seven million, six hundred thirty-two thousand, six hundred forty".