6455897840448 has 1344 divisors, whose sum is σ = 23529413952000. Its totient is φ = 1727926566912.

The previous prime is 6455897840369. The next prime is 6455897840453. The reversal of 6455897840448 is 8440487985546.

6455897840448 is a `hidden beast` number, since 6 + 4 + 5 + 58 + 97 + 8 + 40 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14705917413 + ... + 14705917851.

Almost surely, 2^{6455897840448} 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 6455897840448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764706976000).

6455897840448 is an abundant number, since it is smaller than the sum of its proper divisors (17073516111552).

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

6455897840448 is a wasteful number, since it uses less digits than its factorization.

6455897840448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 6455897840448 in words is "six trillion, four hundred fifty-five billion, eight hundred ninety-seven million, eight hundred forty thousand, four hundred forty-eight".