8469878538240 has 2304 divisors, whose sum is σ = 37446603264000. Its totient is φ = 1773435617280.

The previous prime is 8469878538227. The next prime is 8469878538269. The reversal of 8469878538240 is 428358789648.

8469878538240 is a `hidden beast` number, since 8 + 4 + 6 + 9 + 87 + 8 + 538 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 127 ways as a sum of consecutive naturals, for example, 138850467810 + ... + 138850467870.

It is an arithmetic number, because the mean of its divisors is an integer number (16252866000).

Almost surely, 2^{8469878538240} is an apocalyptic number.

8469878538240 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 8469878538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18723301632000).

8469878538240 is an abundant number, since it is smaller than the sum of its proper divisors (28976724725760).

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

8469878538240 is an equidigital number, since it uses as much as digits as its factorization.

8469878538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 8469878538240 in words is "eight trillion, four hundred sixty-nine billion, eight hundred seventy-eight million, five hundred thirty-eight thousand, two hundred forty".