6286674240 has 336 divisors, whose sum is σ = 26960169600. Its totient is φ = 1306275840.

The previous prime is 6286674223. The next prime is 6286674241. The reversal of 6286674240 is 424766826.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6286674241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207586 + ... + 235934.

It is an arithmetic number, because the mean of its divisors is an integer number (80238600).

Almost surely, 2^6286674240 is an apocalyptic number.

6286674240 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 6286674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13480084800).

6286674240 is an abundant number, since it is smaller than the sum of its proper divisors (20673495360).

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

6286674240 is a wasteful number, since it uses less digits than its factorization.

6286674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28390 (or 28377 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 6286674240 is about 79288.5504975340. The cubic root of 6286674240 is about 1845.6116332043.

The spelling of 6286674240 in words is "six billion, two hundred eighty-six million, six hundred seventy-four thousand, two hundred forty".