6629708307456 has 352 divisors, whose sum is σ = 21191903208000. Its totient is φ = 2035317473280.

The previous prime is 6629708307451. The next prime is 6629708307473. The reversal of 6629708307456 is 6547038079266.

6629708307456 is a `hidden beast` number, since 6 + 62 + 97 + 0 + 8 + 30 + 7 + 456 = 666.

It is a super-2 number, since 2×6629708307456² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6629708307393 and 6629708307402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6629708307451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161360836 + ... + 161401916.

Almost surely, 2^{6629708307456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6629708307456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10595951604000).

6629708307456 is an abundant number, since it is smaller than the sum of its proper divisors (14562194900544).

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

6629708307456 is a wasteful number, since it uses less digits than its factorization.

6629708307456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41572 (or 41548 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 6629708307456 in words is "six trillion, six hundred twenty-nine billion, seven hundred eight million, three hundred seven thousand, four hundred fifty-six".