6732607779360 has 480 divisors, whose sum is σ = 23979931379712. Its totient is φ = 1778820341760.

The previous prime is 6732607779343. The next prime is 6732607779361. The reversal of 6732607779360 is 639777062376.

6732607779360 is a `hidden beast` number, since 6 + 7 + 3 + 260 + 7 + 7 + 7 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (6732607779361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1450053199 + ... + 1450057841.

Almost surely, 2^{6732607779360} is an apocalyptic number.

6732607779360 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 6732607779360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11989965689856).

6732607779360 is an abundant number, since it is smaller than the sum of its proper divisors (17247323600352).

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

6732607779360 is a wasteful number, since it uses less digits than its factorization.

6732607779360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 5661 counting only the distinct ones).

The product of its (nonzero) digits is 84015792, while the sum is 63.

The spelling of 6732607779360 in words is "six trillion, seven hundred thirty-two billion, six hundred seven million, seven hundred seventy-nine thousand, three hundred sixty".