828063031670784 has 768 divisors, whose sum is σ = 3019472951040000. Its totient is φ = 218354578882560.

The previous prime is 828063031670783. The next prime is 828063031670893. The reversal of 828063031670784 is 487076130360828.

828063031670784 is a `hidden beast` number, since 8 + 280 + 6 + 30 + 316 + 7 + 0 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828063031670783) 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, 47456179692 + ... + 47456197140.

It is an arithmetic number, because the mean of its divisors is an integer number (3931605405000).

Almost surely, 2^{828063031670784} is an apocalyptic number.

828063031670784 is a gapful number since it is divisible by the number (84) 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 828063031670784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509736475520000).

828063031670784 is an abundant number, since it is smaller than the sum of its proper divisors (2191409919369216).

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

828063031670784 is a wasteful number, since it uses less digits than its factorization.

828063031670784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26931 (or 26905 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 828063031670784 in words is "eight hundred twenty-eight trillion, sixty-three billion, thirty-one million, six hundred seventy thousand, seven hundred eighty-four".