6471978240 has 288 divisors, whose sum is σ = 25441226496. Its totient is φ = 1365442560.

The previous prime is 6471978239. The next prime is 6471978263. The reversal of 6471978240 is 428791746.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6471978240.

It is a congruent number.

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, 340180 + ... + 358700.

It is an arithmetic number, because the mean of its divisors is an integer number (88337592).

Almost surely, 2^6471978240 is an apocalyptic number.

6471978240 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 6471978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12720613248).

6471978240 is an abundant number, since it is smaller than the sum of its proper divisors (18969248256).

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

6471978240 is a wasteful number, since it uses less digits than its factorization.

6471978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18565 (or 18551 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 6471978240 is about 80448.6062029666. The cubic root of 6471978240 is about 1863.5698811710.

The spelling of 6471978240 in words is "six billion, four hundred seventy-one million, nine hundred seventy-eight thousand, two hundred forty".