4767661322000 has 480 divisors, whose sum is σ = 12606762115584. Its totient is φ = 1742767104000.

The previous prime is 4767661321987. The next prime is 4767661322063. The reversal of 4767661322000 is 2231667674.

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, 3155301245 + ... + 3155302755.

Almost surely, 2^{4767661322000} is an apocalyptic number.

4767661322000 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 4767661322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303381057792).

4767661322000 is an abundant number, since it is smaller than the sum of its proper divisors (7839100793584).

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

4767661322000 is a wasteful number, since it uses less digits than its factorization.

4767661322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

Adding to 4767661322000 its reverse (2231667674), we get a palindrome (4769892989674).

The spelling of 4767661322000 in words is "four trillion, seven hundred sixty-seven billion, six hundred sixty-one million, three hundred twenty-two thousand".