864900292608 has 1008 divisors, whose sum is σ = 3020587446240. Its totient is φ = 235693670400.

The previous prime is 864900292603. The next prime is 864900292637. The reversal of 864900292608 is 806292009468.

It is a happy number.

864900292608 is a `hidden beast` number, since 8 + 6 + 4 + 9 + 0 + 0 + 29 + 2 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (864900292603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21095129068 + ... + 21095129108.

It is an arithmetic number, because the mean of its divisors is an integer number (2996614530).

Almost surely, 2^864900292608 is an apocalyptic number.

864900292608 is a gapful number since it is divisible by the number (88) 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 864900292608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510293723120).

864900292608 is an abundant number, since it is smaller than the sum of its proper divisors (2155687153632).

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

864900292608 is a wasteful number, since it uses less digits than its factorization.

864900292608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 864900292608 in words is "eight hundred sixty-four billion, nine hundred million, two hundred ninety-two thousand, six hundred eight".