326606774400 has 1152 divisors, whose sum is σ = 1322600348160. Its totient is φ = 79228108800.

The previous prime is 326606774399. The next prime is 326606774411. The reversal of 326606774400 is 4477606623.

326606774400 is a `hidden beast` number, since 32 + 6 + 606 + 7 + 7 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 409794802 + ... + 409795598.

It is an arithmetic number, because the mean of its divisors is an integer number (1148090580).

Almost surely, 2^326606774400 is an apocalyptic number.

326606774400 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 326606774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661300174080).

326606774400 is an abundant number, since it is smaller than the sum of its proper divisors (995993573760).

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

326606774400 is a wasteful number, since it uses less digits than its factorization.

326606774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 326606774400 in words is "three hundred twenty-six billion, six hundred six million, seven hundred seventy-four thousand, four hundred".