8461269447360 has 224 divisors, whose sum is σ = 28158276464640. Its totient is φ = 2148557402112.

The previous prime is 8461269447341. The next prime is 8461269447361. The reversal of 8461269447360 is 637449621648.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 8461269447294 and 8461269447303.

It is not an unprimeable number, because it can be changed into a prime (8461269447361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4064626 + ... + 5783054.

It is an arithmetic number, because the mean of its divisors is an integer number (125706591360).

Almost surely, 2^{8461269447360} is an apocalyptic number.

8461269447360 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 8461269447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14079138232320).

8461269447360 is an abundant number, since it is smaller than the sum of its proper divisors (19697007017280).

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

8461269447360 is a wasteful number, since it uses less digits than its factorization.

8461269447360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718695 (or 1718685 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 60.

The spelling of 8461269447360 in words is "eight trillion, four hundred sixty-one billion, two hundred sixty-nine million, four hundred forty-seven thousand, three hundred sixty".