6278819040 has 576 divisors, whose sum is σ = 24656486400. Its totient is φ = 1442230272.

The previous prime is 6278819017. The next prime is 6278819051. The reversal of 6278819040 is 409188726.

6278819040 is a `hidden beast` number, since 627 + 8 + 8 + 19 + 0 + 4 + 0 = 666.

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

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, 45171291 + ... + 45171429.

It is an arithmetic number, because the mean of its divisors is an integer number (42806400).

Almost surely, 2^6278819040 is an apocalyptic number.

6278819040 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 6278819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12328243200).

6278819040 is an abundant number, since it is smaller than the sum of its proper divisors (18377667360).

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

6278819040 is a wasteful number, since it uses less digits than its factorization.

6278819040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 6278819040 is about 79238.9994888880. Note that the first 3 decimals coincide. The cubic root of 6278819040 is about 1844.8426155216.

The spelling of 6278819040 in words is "six billion, two hundred seventy-eight million, eight hundred nineteen thousand, forty".