6278065920 has 288 divisors, whose sum is σ = 25462026240. Its totient is φ = 1434931200.

The previous prime is 6278065897. The next prime is 6278065951. The reversal of 6278065920 is 295608726.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×6278065920³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 228945 + ... + 254895.

Almost surely, 2^6278065920 is an apocalyptic number.

6278065920 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 6278065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731013120).

6278065920 is an abundant number, since it is smaller than the sum of its proper divisors (19183960320).

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

6278065920 is a wasteful number, since it uses less digits than its factorization.

6278065920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25988 (or 25968 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6278065920 is about 79234.2471409933. The cubic root of 6278065920 is about 1844.7688519993.

The spelling of 6278065920 in words is "six billion, two hundred seventy-eight million, sixty-five thousand, nine hundred twenty".