684336489900 has 576 divisors, whose sum is σ = 2354462638080. Its totient is φ = 150232320000.

The previous prime is 684336489877. The next prime is 684336489937. The reversal of 684336489900 is 9984633486.

684336489900 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 (60).

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, 2525226765 + ... + 2525227035.

Almost surely, 2^684336489900 is an apocalyptic number.

684336489900 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 684336489900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177231319040).

684336489900 is an abundant number, since it is smaller than the sum of its proper divisors (1670126148180).

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

684336489900 is a wasteful number, since it uses less digits than its factorization.

684336489900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 684336489900 in words is "six hundred eighty-four billion, three hundred thirty-six million, four hundred eighty-nine thousand, nine hundred".