2968472559360 has 1728 divisors, whose sum is σ = 12678695092224. Its totient is φ = 584169062400.

The previous prime is 2968472559313. The next prime is 2968472559401. The reversal of 2968472559360 is 639552748692.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2968472559291 and 2968472559300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6045768715 + ... + 6045769205.

It is an arithmetic number, because the mean of its divisors is an integer number (7337207808).

Almost surely, 2^{2968472559360} is an apocalyptic number.

2968472559360 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 2968472559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339347546112).

2968472559360 is an abundant number, since it is smaller than the sum of its proper divisors (9710222532864).

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

2968472559360 is a wasteful number, since it uses less digits than its factorization.

2968472559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 66.

The spelling of 2968472559360 in words is "two trillion, nine hundred sixty-eight billion, four hundred seventy-two million, five hundred fifty-nine thousand, three hundred sixty".