6729597403056 has 480 divisors, whose sum is σ = 22521633076800. Its totient is φ = 1851711160320.

The previous prime is 6729597403003. The next prime is 6729597403093. The reversal of 6729597403056 is 6503047959276.

6729597403056 is a `hidden beast` number, since 6 + 7 + 2 + 9 + 597 + 4 + 0 + 30 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6729597402984 and 6729597403002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1397049160 + ... + 1397053976.

It is an arithmetic number, because the mean of its divisors is an integer number (46920068910).

Almost surely, 2^{6729597403056} is an apocalyptic number.

6729597403056 is a gapful number since it is divisible by the number (66) 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 6729597403056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11260816538400).

6729597403056 is an abundant number, since it is smaller than the sum of its proper divisors (15792035673744).

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

6729597403056 is a wasteful number, since it uses less digits than its factorization.

6729597403056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677 (or 6668 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 6729597403056 in words is "six trillion, seven hundred twenty-nine billion, five hundred ninety-seven million, four hundred three thousand, fifty-six".