684150276096 has 720 divisors, whose sum is σ = 2418261221376. Its totient is φ = 181930033152.

The previous prime is 684150276031. The next prime is 684150276097. The reversal of 684150276096 is 690672051486.

684150276096 is a `hidden beast` number, since 6 + 8 + 4 + 1 + 5 + 0 + 27 + 609 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (684150276097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2228502375 + ... + 2228502681.

Almost surely, 2^684150276096 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 684150276096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209130610688).

684150276096 is an abundant number, since it is smaller than the sum of its proper divisors (1734110945280).

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

684150276096 is a wasteful number, since it uses less digits than its factorization.

684150276096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 684150276096 in words is "six hundred eighty-four billion, one hundred fifty million, two hundred seventy-six thousand, ninety-six".