6411993480 has 128 divisors (see below), whose sum is σ = 21392179200. Its totient is φ = 1708356096.

The previous prime is 6411993451. The next prime is 6411993499. The reversal of 6411993480 is 843991146.

It is a super-2 number, since 2×6411993480² = 82227320775125020800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1787769 + ... + 1791351.

It is an arithmetic number, because the mean of its divisors is an integer number (167126400).

Almost surely, 2^6411993480 is an apocalyptic number.

6411993480 is a gapful number since it is divisible by the number (60) 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 6411993480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10696089600).

6411993480 is an abundant number, since it is smaller than the sum of its proper divisors (14980185720).

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

6411993480 is a wasteful number, since it uses less digits than its factorization.

6411993480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6411993480 is about 80074.9241648095. The cubic root of 6411993480 is about 1857.7945764640.

The spelling of 6411993480 in words is "six billion, four hundred eleven million, nine hundred ninety-three thousand, four hundred eighty".