4537734888960 has 1920 divisors, whose sum is σ = 19805662356480. Its totient is φ = 934819135488.

The previous prime is 4537734888937. The next prime is 4537734888971. The reversal of 4537734888960 is 698884377354.

4537734888960 is a `hidden beast` number, since 4 + 5 + 3 + 7 + 7 + 3 + 488 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25350474151 + ... + 25350474329.

It is an arithmetic number, because the mean of its divisors is an integer number (10315449144).

Almost surely, 2^{4537734888960} is an apocalyptic number.

4537734888960 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 4537734888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9902831178240).

4537734888960 is an abundant number, since it is smaller than the sum of its proper divisors (15267927467520).

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

4537734888960 is a wasteful number, since it uses less digits than its factorization.

4537734888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 4537734888960 in words is "four trillion, five hundred thirty-seven billion, seven hundred thirty-four million, eight hundred eighty-eight thousand, nine hundred sixty".