6454656964704 has 192 divisors, whose sum is σ = 19217478873600. Its totient is φ = 1880510349312.

The previous prime is 6454656964703. The next prime is 6454656964711. The reversal of 6454656964704 is 4074696564546.

It is a super-3 number, since 3×6454656964704³ (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6454656964703) 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, 44719917 + ... + 44864019.

It is an arithmetic number, because the mean of its divisors is an integer number (100091035800).

Almost surely, 2^{6454656964704} 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 6454656964704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9608739436800).

6454656964704 is an abundant number, since it is smaller than the sum of its proper divisors (12762821908896).

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

6454656964704 is a wasteful number, since it uses less digits than its factorization.

6454656964704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146037 (or 146029 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 66.

The spelling of 6454656964704 in words is "six trillion, four hundred fifty-four billion, six hundred fifty-six million, nine hundred sixty-four thousand, seven hundred four".