4532008968960 has 1152 divisors, whose sum is σ = 17667294704640. Its totient is φ = 975804825600.

The previous prime is 4532008968901. The next prime is 4532008968997. The reversal of 4532008968960 is 698698002354.

It is a super-3 number, since 3×4532008968960³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4532008968894 and 4532008968903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4816162090 + ... + 4816163030.

It is an arithmetic number, because the mean of its divisors is an integer number (15336193320).

Almost surely, 2^{4532008968960} is an apocalyptic number.

4532008968960 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 4532008968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8833647352320).

4532008968960 is an abundant number, since it is smaller than the sum of its proper divisors (13135285735680).

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

4532008968960 is a wasteful number, since it uses less digits than its factorization.

4532008968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 4532008968960 in words is "four trillion, five hundred thirty-two billion, eight million, nine hundred sixty-eight thousand, nine hundred sixty".