8400129760 has 144 divisors (see below), whose sum is σ = 23097484368. Its totient is φ = 2874798080.

The previous prime is 8400129719. The next prime is 8400129761. The reversal of 8400129760 is 679210048.

It is a super-3 number, since 3×8400129760³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8400129761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316359 + ... + 341881.

It is an arithmetic number, because the mean of its divisors is an integer number (160399197).

Almost surely, 2^8400129760 is an apocalyptic number.

8400129760 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 8400129760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548742184).

8400129760 is an abundant number, since it is smaller than the sum of its proper divisors (14697354608).

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

8400129760 is a wasteful number, since it uses less digits than its factorization.

8400129760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25577 (or 25558 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 8400129760 is about 91652.2217952189. The cubic root of 8400129760 is about 2032.8031808450.

The spelling of 8400129760 in words is "eight billion, four hundred million, one hundred twenty-nine thousand, seven hundred sixty".