2964233733468 has 192 divisors, whose sum is σ = 8392486330368. Its totient is φ = 794928660480.

The previous prime is 2964233733467. The next prime is 2964233733509. The reversal of 2964233733468 is 8643373324692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2964233733467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1371694308 + ... + 1371696468.

It is an arithmetic number, because the mean of its divisors is an integer number (43710866304).

Almost surely, 2^{2964233733468} is an apocalyptic number.

2964233733468 is a gapful number since it is divisible by the number (28) 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 2964233733468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196243165184).

2964233733468 is an abundant number, since it is smaller than the sum of its proper divisors (5428252596900).

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

2964233733468 is a wasteful number, since it uses less digits than its factorization.

2964233733468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4370 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 60.

The spelling of 2964233733468 in words is "two trillion, nine hundred sixty-four billion, two hundred thirty-three million, seven hundred thirty-three thousand, four hundred sixty-eight".