682653789576 has 256 divisors, whose sum is σ = 2088459244800. Its totient is φ = 206595671040.

The previous prime is 682653789533. The next prime is 682653789683. The reversal of 682653789576 is 675987356286.

It is a happy number.

682653789576 is a `hidden beast` number, since 6 + 8 + 2 + 6 + 537 + 89 + 5 + 7 + 6 = 666.

682653789576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 411980940 + ... + 411982596.

It is an arithmetic number, because the mean of its divisors is an integer number (8158043925).

Almost surely, 2^682653789576 is an apocalyptic number.

682653789576 is a gapful number since it is divisible by the number (66) 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 682653789576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044229622400).

682653789576 is an abundant number, since it is smaller than the sum of its proper divisors (1405805455224).

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

682653789576 is a wasteful number, since it uses less digits than its factorization.

682653789576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3106 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 682653789576 in words is "six hundred eighty-two billion, six hundred fifty-three million, seven hundred eighty-nine thousand, five hundred seventy-six".