4532064048000 has 640 divisors, whose sum is σ = 17069631733440. Its totient is φ = 1191504384000.

The previous prime is 4532064047969. The next prime is 4532064048047. The reversal of 4532064048000 is 8404602354.

4532064048000 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 0 + 640 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91991374 + ... + 92040626.

Almost surely, 2^{4532064048000} is an apocalyptic number.

4532064048000 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 4532064048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8534815866720).

4532064048000 is an abundant number, since it is smaller than the sum of its proper divisors (12537567685440).

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

4532064048000 is an equidigital number, since it uses as much as digits as its factorization.

4532064048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49365 (or 49334 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 4532064048000 in words is "four trillion, five hundred thirty-two billion, sixty-four million, forty-eight thousand".