860964872721408 has 4752 divisors, whose sum is σ = 3498068470321152. Its totient is φ = 201356712345600.

The previous prime is 860964872721407. The next prime is 860964872721427. The reversal of 860964872721408 is 804127278469068.

860964872721408 is a `hidden beast` number, since 8 + 6 + 0 + 96 + 48 + 72 + 7 + 21 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860964872721407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4507669490593 + ... + 4507669490783.

Almost surely, 2^{860964872721408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 860964872721408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749034235160576).

860964872721408 is an abundant number, since it is smaller than the sum of its proper divisors (2637103597599744).

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

860964872721408 is a wasteful number, since it uses less digits than its factorization.

860964872721408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 860964872721408 in words is "eight hundred sixty trillion, nine hundred sixty-four billion, eight hundred seventy-two million, seven hundred twenty-one thousand, four hundred eight".