6275535840 has 864 divisors, whose sum is σ = 27247933440. Its totient is φ = 1306368000.

The previous prime is 6275535829. The next prime is 6275535863. The reversal of 6275535840 is 485355726.

6275535840 is a `hidden beast` number, since 6 + 2 + 7 + 553 + 58 + 40 = 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 143 ways as a sum of consecutive naturals, for example, 41559765 + ... + 41559915.

It is an arithmetic number, because the mean of its divisors is an integer number (31536960).

Almost surely, 2^6275535840 is an apocalyptic number.

6275535840 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 6275535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623966720).

6275535840 is an abundant number, since it is smaller than the sum of its proper divisors (20972397600).

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

6275535840 is a wasteful number, since it uses less digits than its factorization.

6275535840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 6275535840 is about 79218.2797086632. The cubic root of 6275535840 is about 1844.5210028490.

The spelling of 6275535840 in words is "six billion, two hundred seventy-five million, five hundred thirty-five thousand, eight hundred forty".