895649862240 has 768 divisors, whose sum is σ = 3727782051840. Its totient is φ = 196530001920.

The previous prime is 895649862193. The next prime is 895649862241. The reversal of 895649862240 is 42268946598.

895649862240 is a `hidden beast` number, since 8 + 9 + 564 + 9 + 8 + 6 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895649862241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119051119 + ... + 119058641.

It is an arithmetic number, because the mean of its divisors is an integer number (4853882880).

Almost surely, 2^895649862240 is an apocalyptic number.

895649862240 is a gapful number since it is divisible by the number (80) 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 895649862240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863891025920).

895649862240 is an abundant number, since it is smaller than the sum of its proper divisors (2832132189600).

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

895649862240 is a wasteful number, since it uses less digits than its factorization.

895649862240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7712 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 895649862240 in words is "eight hundred ninety-five billion, six hundred forty-nine million, eight hundred sixty-two thousand, two hundred forty".