326951116800 has 672 divisors, whose sum is σ = 1348000579584. Its totient is φ = 67928064000.

The previous prime is 326951116771. The next prime is 326951116801. The reversal of 326951116800 is 8611159623.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (326951116801) 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, 47305345 + ... + 47312255.

Almost surely, 2^326951116800 is an apocalyptic number.

326951116800 is a gapful number since it is divisible by the number (30) 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 326951116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674000289792).

326951116800 is an abundant number, since it is smaller than the sum of its proper divisors (1021049462784).

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

326951116800 is a wasteful number, since it uses less digits than its factorization.

326951116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6968 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 326951116800 in words is "three hundred twenty-six billion, nine hundred fifty-one million, one hundred sixteen thousand, eight hundred".