8405367880 has 192 divisors, whose sum is σ = 23921231040. Its totient is φ = 2634444288.

The previous prime is 8405367863. The next prime is 8405367881. The reversal of 8405367880 is 887635048.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (8405367881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2724819 + ... + 2727901.

It is an arithmetic number, because the mean of its divisors is an integer number (124589745).

Almost surely, 2^8405367880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8405367880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11960615520).

8405367880 is an abundant number, since it is smaller than the sum of its proper divisors (15515863160).

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

8405367880 is a wasteful number, since it uses less digits than its factorization.

8405367880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The square root of 8405367880 is about 91680.7934084342. The cubic root of 8405367880 is about 2033.2256288616.

The spelling of 8405367880 in words is "eight billion, four hundred five million, three hundred sixty-seven thousand, eight hundred eighty".