4735379880000 has 4480 divisors, whose sum is σ = 23736321945600. Its totient is φ = 906992640000.

The previous prime is 4735379879953. The next prime is 4735379880029. The reversal of 4735379880000 is 889735374.

4735379880000 is a `hidden beast` number, since 473 + 5 + 3 + 7 + 98 + 80 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 127983239982 + ... + 127983240018.

Almost surely, 2^{4735379880000} is an apocalyptic number.

4735379880000 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 4735379880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11868160972800).

4735379880000 is an abundant number, since it is smaller than the sum of its proper divisors (19000942065600).

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

4735379880000 is an equidigital number, since it uses as much as digits as its factorization.

4735379880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4735379880000 in words is "four trillion, seven hundred thirty-five billion, three hundred seventy-nine million, eight hundred eighty thousand".