6411880480 has 96 divisors (see below), whose sum is σ = 16098127920. Its totient is φ = 2405007360.

The previous prime is 6411880477. The next prime is 6411880487. The reversal of 6411880480 is 840881146.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5379929104 + 1031951376 = 73348^2 + 32124^2 .

It is a super-2 number, since 2×6411880480² = 82224422579610060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6411880487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760126 + ... + 768514.

Almost surely, 2^6411880480 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 6411880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049063960).

6411880480 is an abundant number, since it is smaller than the sum of its proper divisors (9686247440).

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

6411880480 is a wasteful number, since it uses less digits than its factorization.

6411880480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8702 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 6411880480 is about 80074.2185725218. The cubic root of 6411880480 is about 1857.7836629563.

The spelling of 6411880480 in words is "six billion, four hundred eleven million, eight hundred eighty thousand, four hundred eighty".