6685957935360 has 720 divisors, whose sum is σ = 26146855848960. Its totient is φ = 1617832673280.

The previous prime is 6685957935353. The next prime is 6685957935431. The reversal of 6685957935360 is 635397595866.

6685957935360 is a `hidden beast` number, since 6 + 6 + 85 + 9 + 5 + 7 + 9 + 3 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 648927969 + ... + 648938271.

It is an arithmetic number, because the mean of its divisors is an integer number (36315077568).

Almost surely, 2^{6685957935360} is an apocalyptic number.

6685957935360 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 6685957935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13073427924480).

6685957935360 is an abundant number, since it is smaller than the sum of its proper divisors (19460897913600).

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

6685957935360 is a wasteful number, since it uses less digits than its factorization.

6685957935360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10916 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 1102248000, while the sum is 72.

The spelling of 6685957935360 in words is "six trillion, six hundred eighty-five billion, nine hundred fifty-seven million, nine hundred thirty-five thousand, three hundred sixty".