6729405480000 has 2800 divisors, whose sum is σ = 29863888496640. Its totient is φ = 1466076672000.

The previous prime is 6729405479989. The next prime is 6729405480053. The reversal of 6729405480000 is 845049276.

It is a happy number.

6729405480000 is a `hidden beast` number, since 67 + 2 + 9 + 40 + 548 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2800).

It is a super-2 number, since 2×6729405480000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 62891639947 + ... + 62891640053.

Almost surely, 2^{6729405480000} is an apocalyptic number.

6729405480000 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 6729405480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14931944248320).

6729405480000 is an abundant number, since it is smaller than the sum of its proper divisors (23134483016640).

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

6729405480000 is a wasteful number, since it uses less digits than its factorization.

6729405480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 6729405480000 in words is "six trillion, seven hundred twenty-nine billion, four hundred five million, four hundred eighty thousand".