6454274508864 has 1344 divisors, whose sum is σ = 24284714854400. Its totient is φ = 1688820295680.

The previous prime is 6454274508863. The next prime is 6454274508893. The reversal of 6454274508864 is 4688054724546.

It is a happy number.

6454274508864 is a `hidden beast` number, since 6 + 4 + 5 + 42 + 7 + 4 + 508 + 86 + 4 = 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 (63).

It is not an unprimeable number, because it can be changed into a prime (6454274508863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11303457699 + ... + 11303458269.

Almost surely, 2^{6454274508864} is an apocalyptic number.

6454274508864 is a gapful number since it is divisible by the number (64) 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 6454274508864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142357427200).

6454274508864 is an abundant number, since it is smaller than the sum of its proper divisors (17830440345536).

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

6454274508864 is a wasteful number, since it uses less digits than its factorization.

6454274508864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 63.

The spelling of 6454274508864 in words is "six trillion, four hundred fifty-four billion, two hundred seventy-four million, five hundred eight thousand, eight hundred sixty-four".