4735877908320 has 576 divisors, whose sum is σ = 17707874655744. Its totient is φ = 1145542901760.

The previous prime is 4735877908261. The next prime is 4735877908373. The reversal of 4735877908320 is 238097785374.

4735877908320 is a `hidden beast` number, since 47 + 3 + 587 + 7 + 9 + 0 + 8 + 3 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 378530865 + ... + 378543375.

It is an arithmetic number, because the mean of its divisors is an integer number (30742837944).

Almost surely, 2^{4735877908320} is an apocalyptic number.

4735877908320 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 4735877908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8853937327872).

4735877908320 is an abundant number, since it is smaller than the sum of its proper divisors (12971996747424).

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

4735877908320 is a wasteful number, since it uses less digits than its factorization.

4735877908320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12895 (or 12884 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 4735877908320 in words is "four trillion, seven hundred thirty-five billion, eight hundred seventy-seven million, nine hundred eight thousand, three hundred twenty".