684537213600 has 1296 divisors, whose sum is σ = 2710716503040. Its totient is φ = 161989632000.

The previous prime is 684537213583. The next prime is 684537213643. The reversal of 684537213600 is 6312735486.

684537213600 is a `hidden beast` number, since 6 + 8 + 4 + 5 + 37 + 2 + 1 + 3 + 600 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5390056737 + ... + 5390056863.

It is an arithmetic number, because the mean of its divisors is an integer number (2091602240).

Almost surely, 2^684537213600 is an apocalyptic number.

684537213600 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 684537213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355358251520).

684537213600 is an abundant number, since it is smaller than the sum of its proper divisors (2026179289440).

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

684537213600 is a wasteful number, since it uses less digits than its factorization.

684537213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 684537213600 in words is "six hundred eighty-four billion, five hundred thirty-seven million, two hundred thirteen thousand, six hundred".