8427764880000 has 2240 divisors, whose sum is σ = 33685860574080. Its totient is φ = 2093921280000.

The previous prime is 8427764879909. The next prime is 8427764880091. The reversal of 8427764880000 is 884677248.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8427764879909) and next prime (8427764880091).

It is a super-2 number, since 2×8427764880000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 81822959949 + ... + 81822960051.

Almost surely, 2^{8427764880000} is an apocalyptic number.

8427764880000 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 8427764880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16842930287040).

8427764880000 is an abundant number, since it is smaller than the sum of its proper divisors (25258095694080).

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

8427764880000 is an equidigital number, since it uses as much as digits as its factorization.

8427764880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 8427764880000 in words is "eight trillion, four hundred twenty-seven billion, seven hundred sixty-four million, eight hundred eighty thousand".