7682329897704 has 768 divisors, whose sum is σ = 27662816563200. Its totient is φ = 1939284633600.

The previous prime is 7682329897639. The next prime is 7682329897741. The reversal of 7682329897704 is 4077989232867.

7682329897704 is a `hidden beast` number, since 76 + 82 + 329 + 8 + 97 + 70 + 4 = 666.

It is a super-2 number, since 2×7682329897704² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 1700004357 + ... + 1700008875.

It is an arithmetic number, because the mean of its divisors is an integer number (36019292400).

Almost surely, 2^{7682329897704} 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 7682329897704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13831408281600).

7682329897704 is an abundant number, since it is smaller than the sum of its proper divisors (19980486665496).

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

7682329897704 is a wasteful number, since it uses less digits than its factorization.

7682329897704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 7682329897704 in words is "seven trillion, six hundred eighty-two billion, three hundred twenty-nine million, eight hundred ninety-seven thousand, seven hundred four".