684742844903040 has 6144 divisors, whose sum is σ = 3355282538496000. Its totient is φ = 127725465600000.

The previous prime is 684742844903023. The next prime is 684742844903063. The reversal of 684742844903040 is 40309448247486.

684742844903040 is a `hidden beast` number, since 6 + 8 + 4 + 7 + 4 + 284 + 49 + 0 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2728059142915 + ... + 2728059143165.

It is an arithmetic number, because the mean of its divisors is an integer number (546107184000).

Almost surely, 2^{684742844903040} is an apocalyptic number.

684742844903040 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 684742844903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677641269248000).

684742844903040 is an abundant number, since it is smaller than the sum of its proper divisors (2670539693592960).

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

684742844903040 is a wasteful number, since it uses less digits than its factorization.

684742844903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 684742844903040 in words is "six hundred eighty-four trillion, seven hundred forty-two billion, eight hundred forty-four million, nine hundred three thousand, forty".