6279945840 has 480 divisors, whose sum is σ = 25069824000. Its totient is φ = 1407813120.

The previous prime is 6279945839. The next prime is 6279945857. The reversal of 6279945840 is 485499726.

6279945840 is a `hidden beast` number, since 62 + 7 + 99 + 458 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14570425 + ... + 14570855.

It is an arithmetic number, because the mean of its divisors is an integer number (52228800).

Almost surely, 2^6279945840 is an apocalyptic number.

6279945840 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 6279945840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534912000).

6279945840 is an abundant number, since it is smaller than the sum of its proper divisors (18789878160).

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

6279945840 is a wasteful number, since it uses less digits than its factorization.

6279945840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 6279945840 is about 79246.1093051261. The cubic root of 6279945840 is about 1844.9529677129.

The spelling of 6279945840 in words is "six billion, two hundred seventy-nine million, nine hundred forty-five thousand, eight hundred forty".