747121164000 has 384 divisors, whose sum is σ = 2472693350400. Its totient is φ = 197197568000.

The previous prime is 747121163963. The next prime is 747121164001. The reversal of 747121164000 is 461121747.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747121164001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 684803455 + ... + 684804545.

It is an arithmetic number, because the mean of its divisors is an integer number (6439305600).

Almost surely, 2^747121164000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 747121164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236346675200).

747121164000 is an abundant number, since it is smaller than the sum of its proper divisors (1725572186400).

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

747121164000 is a wasteful number, since it uses less digits than its factorization.

747121164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

Adding to 747121164000 its reverse (461121747), we get a palindrome (747582285747).

The spelling of 747121164000 in words is "seven hundred forty-seven billion, one hundred twenty-one million, one hundred sixty-four thousand".