682735473000 has 1536 divisors, whose sum is σ = 2918909260800. Its totient is φ = 148729996800.

The previous prime is 682735472999. The next prime is 682735473103. The reversal of 682735473000 is 374537286.

682735473000 is a `hidden beast` number, since 6 + 8 + 2 + 73 + 547 + 30 + 0 + 0 = 666.

682735473000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×682735473000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2464748862 + ... + 2464749138.

It is an arithmetic number, because the mean of its divisors is an integer number (1900331550).

Almost surely, 2^682735473000 is an apocalyptic number.

682735473000 is a gapful number since it is divisible by the number (60) 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 682735473000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459454630400).

682735473000 is an abundant number, since it is smaller than the sum of its proper divisors (2236173787800).

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

682735473000 is a wasteful number, since it uses less digits than its factorization.

682735473000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 682735473000 in words is "six hundred eighty-two billion, seven hundred thirty-five million, four hundred seventy-three thousand".