6454315672440 has 128 divisors (see below), whose sum is σ = 19890609246720. Its totient is φ = 1674267840000.

The previous prime is 6454315672429. The next prime is 6454315672459. The reversal of 6454315672440 is 442765134546.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20494165 + ... + 20806715.

It is an arithmetic number, because the mean of its divisors is an integer number (155395384740).

Almost surely, 2^{6454315672440} is an apocalyptic number.

6454315672440 is a gapful number since it is divisible by the number (60) 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 6454315672440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9945304623360).

6454315672440 is an abundant number, since it is smaller than the sum of its proper divisors (13436293574280).

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

6454315672440 is a wasteful number, since it uses less digits than its factorization.

6454315672440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317253 (or 317249 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 51.

The spelling of 6454315672440 in words is "six trillion, four hundred fifty-four billion, three hundred fifteen million, six hundred seventy-two thousand, four hundred forty".