7828723768320 has 2376 divisors, whose sum is σ = 35036005983264. Its totient is φ = 1643390042112.

The previous prime is 7828723768277. The next prime is 7828723768343. The reversal of 7828723768320 is 238673278287.

7828723768320 is a `hidden beast` number, since 7 + 8 + 287 + 23 + 7 + 6 + 8 + 320 = 666.

It is a super-2 number, since 2×7828723768320² (a number of 27 digits) contains 22 as substring.

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

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 215 ways as a sum of consecutive naturals, for example, 39739714462 + ... + 39739714658.

It is an arithmetic number, because the mean of its divisors is an integer number (14745793764).

Almost surely, 2^{7828723768320} is an apocalyptic number.

7828723768320 is a gapful number since it is divisible by the number (70) 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 7828723768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17518002991632).

7828723768320 is an abundant number, since it is smaller than the sum of its proper divisors (27207282214944).

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

7828723768320 is an equidigital number, since it uses as much as digits as its factorization.

7828723768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 7828723768320 in words is "seven trillion, eight hundred twenty-eight billion, seven hundred twenty-three million, seven hundred sixty-eight thousand, three hundred twenty".