756828216144 has 2560 divisors, whose sum is σ = 3306028400640. Its totient is φ = 161243136000.

The previous prime is 756828216119. The next prime is 756828216163. The reversal of 756828216144 is 441612828657.

756828216144 is a `hidden beast` number, since 7 + 568 + 28 + 2 + 16 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 18459224764 + ... + 18459224804.

It is an arithmetic number, because the mean of its divisors is an integer number (1291417344).

Almost surely, 2^756828216144 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 756828216144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653014200320).

756828216144 is an abundant number, since it is smaller than the sum of its proper divisors (2549200184496).

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

756828216144 is a wasteful number, since it uses less digits than its factorization.

756828216144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 756828216144 in words is "seven hundred fifty-six billion, eight hundred twenty-eight million, two hundred sixteen thousand, one hundred forty-four".