683972459456832 has 4032 divisors, whose sum is σ = 2854385604806400. Its totient is φ = 158638306885632.

The previous prime is 683972459456827. The next prime is 683972459456837. The reversal of 683972459456832 is 238654954279386.

683972459456832 is a `hidden beast` number, since 6 + 8 + 3 + 9 + 7 + 2 + 45 + 9 + 4 + 568 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (683972459456827) and next prime (683972459456837).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683972459456837) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9369485745948 + ... + 9369485746020.

It is an arithmetic number, because the mean of its divisors is an integer number (707932937700).

Almost surely, 2^{683972459456832} 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 683972459456832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427192802403200).

683972459456832 is an abundant number, since it is smaller than the sum of its proper divisors (2170413145349568).

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

683972459456832 is a wasteful number, since it uses less digits than its factorization.

683972459456832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its digits is 18811699200, while the sum is 81.

The spelling of 683972459456832 in words is "six hundred eighty-three trillion, nine hundred seventy-two billion, four hundred fifty-nine million, four hundred fifty-six thousand, eight hundred thirty-two".