860706816480 has 288 divisors, whose sum is σ = 3481082002944. Its totient is φ = 196732924416.

The previous prime is 860706816479. The next prime is 860706816481. The reversal of 860706816480 is 84618607068.

860706816480 is a `hidden beast` number, since 86 + 0 + 7 + 0 + 6 + 81 + 6 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (860706816479) and next prime (860706816481).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860706816481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1309092 + ... + 1853411.

It is an arithmetic number, because the mean of its divisors is an integer number (12087090288).

Almost surely, 2^860706816480 is an apocalyptic number.

860706816480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

860706816480 is an abundant number, since it is smaller than the sum of its proper divisors (2620375186464).

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

860706816480 is a wasteful number, since it uses less digits than its factorization.

860706816480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162540 (or 3162520 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 860706816480 in words is "eight hundred sixty billion, seven hundred six million, eight hundred sixteen thousand, four hundred eighty".