2964797792320 has 448 divisors, whose sum is σ = 9075609317376. Its totient is φ = 896654499840.

The previous prime is 2964797792279. The next prime is 2964797792321. The reversal of 2964797792320 is 232977974692.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (2964797792321) 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, 1250440735 + ... + 1250443105.

It is an arithmetic number, because the mean of its divisors is an integer number (20258056512).

Almost surely, 2^{2964797792320} is an apocalyptic number.

2964797792320 is a gapful number since it is divisible by the number (20) 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 2964797792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537804658688).

2964797792320 is an abundant number, since it is smaller than the sum of its proper divisors (6110811525056).

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

2964797792320 is a wasteful number, since it uses less digits than its factorization.

2964797792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 144027072, while the sum is 67.

The spelling of 2964797792320 in words is "two trillion, nine hundred sixty-four billion, seven hundred ninety-seven million, seven hundred ninety-two thousand, three hundred twenty".