4959566007732 has 480 divisors, whose sum is σ = 16014300825600. Its totient is φ = 1307082002688.

The previous prime is 4959566007689. The next prime is 4959566007733. The reversal of 4959566007732 is 2377006659594.

4959566007732 is a `hidden beast` number, since 4 + 9 + 595 + 6 + 6 + 0 + 0 + 7 + 7 + 32 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4959566007732.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4959566007733) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1759333819 + ... + 1759336637.

It is an arithmetic number, because the mean of its divisors is an integer number (33363126720).

Almost surely, 2^{4959566007732} is an apocalyptic number.

4959566007732 is a gapful number since it is divisible by the number (42) 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 4959566007732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007150412800).

4959566007732 is an abundant number, since it is smaller than the sum of its proper divisors (11054734817868).

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

4959566007732 is a wasteful number, since it uses less digits than its factorization.

4959566007732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 4959566007732 in words is "four trillion, nine hundred fifty-nine billion, five hundred sixty-six million, seven thousand, seven hundred thirty-two".