6865367040 has 624 divisors, whose sum is σ = 28888411968. Its totient is φ = 1472200704.

The previous prime is 6865367029. The next prime is 6865367051. The reversal of 6865367040 is 407635686.

6865367040 is a `hidden beast` number, since 6 + 8 + 6 + 536 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6865367029) and next prime (6865367051).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21933924 + ... + 21934236.

It is an arithmetic number, because the mean of its divisors is an integer number (46295532).

Almost surely, 2^6865367040 is an apocalyptic number.

6865367040 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 6865367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14444205984).

6865367040 is an abundant number, since it is smaller than the sum of its proper divisors (22023044928).

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

6865367040 is a wasteful number, since it uses less digits than its factorization.

6865367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6865367040 is about 82857.5104622387. The cubic root of 6865367040 is about 1900.5877258443.

It can be divided in two parts, 686 and 5367040, that added together give a triangular number (5367726 = T₃₂₇₆).

The spelling of 6865367040 in words is "six billion, eight hundred sixty-five million, three hundred sixty-seven thousand, forty".