4775336832000 has 352 divisors, whose sum is σ = 18153794280960. Its totient is φ = 1091504947200.

The previous prime is 4775336831999. The next prime is 4775336832001. The reversal of 4775336832000 is 2386335774.

It is an interprime number because it is at equal distance from previous prime (4775336831999) and next prime (4775336832001).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4775336832001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1799731 + ... + 3576269.

Almost surely, 2^{4775336832000} is an apocalyptic number.

4775336832000 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 4775336832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9076897140480).

4775336832000 is an abundant number, since it is smaller than the sum of its proper divisors (13378457448960).

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

4775336832000 is a wasteful number, since it uses less digits than its factorization.

4775336832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776584 (or 1776556 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 4775336832000 in words is "four trillion, seven hundred seventy-five billion, three hundred thirty-six million, eight hundred thirty-two thousand".