6455916794880 has 1760 divisors, whose sum is σ = 28487888732160. Its totient is φ = 1365510389760.

The previous prime is 6455916794809. The next prime is 6455916794893. The reversal of 6455916794880 is 884976195546.

6455916794880 is a `hidden beast` number, since 6 + 4 + 55 + 91 + 6 + 7 + 9 + 488 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6455916794799 and 6455916794808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2069865961 + ... + 2069869079.

It is an arithmetic number, because the mean of its divisors is an integer number (16186300416).

Almost surely, 2^{6455916794880} is an apocalyptic number.

6455916794880 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 6455916794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14243944366080).

6455916794880 is an abundant number, since it is smaller than the sum of its proper divisors (22031971937280).

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

6455916794880 is a wasteful number, since it uses less digits than its factorization.

6455916794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 6455916794880 in words is "six trillion, four hundred fifty-five billion, nine hundred sixteen million, seven hundred ninety-four thousand, eight hundred eighty".