867748775040 has 1280 divisors, whose sum is σ = 3761130700800. Its totient is φ = 186235822080.

The previous prime is 867748775027. The next prime is 867748775087. The reversal of 867748775040 is 40577847768.

867748775040 is a `hidden beast` number, since 8 + 67 + 7 + 487 + 7 + 50 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 875628945 + ... + 875629935.

It is an arithmetic number, because the mean of its divisors is an integer number (2938383360).

Almost surely, 2^867748775040 is an apocalyptic number.

867748775040 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 867748775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880565350400).

867748775040 is an abundant number, since it is smaller than the sum of its proper divisors (2893381925760).

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

867748775040 is a wasteful number, since it uses less digits than its factorization.

867748775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 63.

The spelling of 867748775040 in words is "eight hundred sixty-seven billion, seven hundred forty-eight million, seven hundred seventy-five thousand, forty".