6455394953280 has 3024 divisors, whose sum is σ = 30221990652672. Its totient is φ = 1231121203200.

The previous prime is 6455394953257. The next prime is 6455394953321. The reversal of 6455394953280 is 823594935546.

It is a happy number.

6455394953280 is a `hidden beast` number, since 6 + 4 + 5 + 5 + 3 + 94 + 9 + 532 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 90921055645 + ... + 90921055715.

It is an arithmetic number, because the mean of its divisors is an integer number (9994044528).

Almost surely, 2^{6455394953280} is an apocalyptic number.

6455394953280 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 6455394953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15110995326336).

6455394953280 is an abundant number, since it is smaller than the sum of its proper divisors (23766595699392).

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

6455394953280 is a wasteful number, since it uses less digits than its factorization.

6455394953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 6455394953280 in words is "six trillion, four hundred fifty-five billion, three hundred ninety-four million, nine hundred fifty-three thousand, two hundred eighty".