8464321152000 has 1320 divisors, whose sum is σ = 36696935380248. Its totient is φ = 1934585856000.

The previous prime is 8464321151999. The next prime is 8464321152019. The reversal of 8464321152000 is 2511234648.

It is a happy number.

8464321152000 is a `hidden beast` number, since 8 + 4 + 6 + 432 + 1 + 15 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 395630936064 + 8068690215936 = 628992^2 + 2840544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 508023670 + ... + 508040330.

Almost surely, 2^{8464321152000} is an apocalyptic number.

8464321152000 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 8464321152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18348467690124).

8464321152000 is an abundant number, since it is smaller than the sum of its proper divisors (28232614228248).

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

8464321152000 is a wasteful number, since it uses less digits than its factorization.

8464321152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16722 (or 16678 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 8464321152000 its reverse (2511234648), we get a palindrome (8466832386648).

The spelling of 8464321152000 in words is "eight trillion, four hundred sixty-four billion, three hundred twenty-one million, one hundred fifty-two thousand".