864754146720 has 384 divisors, whose sum is σ = 3070032295680. Its totient is φ = 230147702784.

The previous prime is 864754146719. The next prime is 864754146727. The reversal of 864754146720 is 27641457468.

864754146720 is a `hidden beast` number, since 8 + 6 + 475 + 4 + 146 + 7 + 20 = 666.

864754146720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (864754146727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201901699 + ... + 201905981.

It is an arithmetic number, because the mean of its divisors is an integer number (7994875770).

Almost surely, 2^864754146720 is an apocalyptic number.

864754146720 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 864754146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535016147840).

864754146720 is an abundant number, since it is smaller than the sum of its proper divisors (2205278148960).

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

864754146720 is an equidigital number, since it uses as much as digits as its factorization.

864754146720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 864754146720 in words is "eight hundred sixty-four billion, seven hundred fifty-four million, one hundred forty-six thousand, seven hundred twenty".