4757384160000 has 1080 divisors, whose sum is σ = 18486948720240. Its totient is φ = 1172275200000.

The previous prime is 4757384159987. The next prime is 4757384160031. The reversal of 4757384160000 is 614837574.

4757384160000 is a `hidden beast` number, since 4 + 7 + 5 + 7 + 38 + 4 + 1 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1121757880 + ... + 1121762120.

Almost surely, 2^{4757384160000} is an apocalyptic number.

4757384160000 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 4757384160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243474360120).

4757384160000 is an abundant number, since it is smaller than the sum of its proper divisors (13729564560240).

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

4757384160000 is a wasteful number, since it uses less digits than its factorization.

4757384160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4343 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

Adding to 4757384160000 its reverse (614837574), we get a palindrome (4757998997574).

The spelling of 4757384160000 in words is "four trillion, seven hundred fifty-seven billion, three hundred eighty-four million, one hundred sixty thousand".