864008828640 has 144 divisors (see below), whose sum is σ = 2964720691296. Its totient is φ = 229129344000.

The previous prime is 864008828591. The next prime is 864008828651. The reversal of 864008828640 is 46828800468.

864008828640 is a `hidden beast` number, since 86 + 400 + 8 + 82 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×864008828640² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1396836 + ... + 1918115.

It is an arithmetic number, because the mean of its divisors is an integer number (20588338134).

Almost surely, 2^864008828640 is an apocalyptic number.

864008828640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

864008828640 is an abundant number, since it is smaller than the sum of its proper divisors (2100711862656).

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

864008828640 is a wasteful number, since it uses less digits than its factorization.

864008828640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315153 (or 3315142 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 864008828640 in words is "eight hundred sixty-four billion, eight million, eight hundred twenty-eight thousand, six hundred forty".