2947728554496 has 640 divisors, whose sum is σ = 9899366400000. Its totient is φ = 857859932160.

The previous prime is 2947728554443. The next prime is 2947728554531. The reversal of 2947728554496 is 6944558277492.

2947728554496 is a `hidden beast` number, since 2 + 9 + 4 + 7 + 7 + 2 + 85 + 54 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 877559665 + ... + 877563023.

It is an arithmetic number, because the mean of its divisors is an integer number (15467760000).

Almost surely, 2^{2947728554496} 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 2947728554496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949683200000).

2947728554496 is an abundant number, since it is smaller than the sum of its proper divisors (6951637845504).

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

2947728554496 is a wasteful number, since it uses less digits than its factorization.

2947728554496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3603 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 2947728554496 in words is "two trillion, nine hundred forty-seven billion, seven hundred twenty-eight million, five hundred fifty-four thousand, four hundred ninety-six".