8778466344960 has 1080 divisors, whose sum is σ = 33675563376000. Its totient is φ = 2113466793984.

The previous prime is 8778466344943. The next prime is 8778466344983. The reversal of 8778466344960 is 694436648778.

8778466344960 is a `hidden beast` number, since 8 + 7 + 78 + 4 + 6 + 63 + 4 + 496 + 0 = 666.

It is a super-2 number, since 2×8778466344960² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5856214291 + ... + 5856215789.

It is an arithmetic number, because the mean of its divisors is an integer number (31181077200).

Almost surely, 2^{8778466344960} is an apocalyptic number.

8778466344960 is a gapful number since it is divisible by the number (80) 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 8778466344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16837781688000).

8778466344960 is an abundant number, since it is smaller than the sum of its proper divisors (24897097031040).

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

8778466344960 is a wasteful number, since it uses less digits than its factorization.

8778466344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 8778466344960 in words is "eight trillion, seven hundred seventy-eight billion, four hundred sixty-six million, three hundred forty-four thousand, nine hundred sixty".