6455870968320 has 1120 divisors, whose sum is σ = 23984349903360. Its totient is φ = 1664745799680.

The previous prime is 6455870968247. The next prime is 6455870968387. The reversal of 6455870968320 is 238690785546.

It is a happy number.

6455870968320 is a `hidden beast` number, since 6 + 4 + 558 + 70 + 9 + 6 + 8 + 3 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10635701457 + ... + 10635702063.

It is an arithmetic number, because the mean of its divisors is an integer number (21414598128).

Almost surely, 2^{6455870968320} is an apocalyptic number.

6455870968320 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 6455870968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11992174951680).

6455870968320 is an abundant number, since it is smaller than the sum of its proper divisors (17528478935040).

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

6455870968320 is an equidigital number, since it uses as much as digits as its factorization.

6455870968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 6455870968320 in words is "six trillion, four hundred fifty-five billion, eight hundred seventy million, nine hundred sixty-eight thousand, three hundred twenty".