326971975680 has 1152 divisors, whose sum is σ = 1347838652160. Its totient is φ = 71769784320.

The previous prime is 326971975663. The next prime is 326971975723. The reversal of 326971975680 is 86579179623.

326971975680 is a `hidden beast` number, since 3 + 2 + 69 + 7 + 1 + 9 + 7 + 568 + 0 = 666.

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

It is a super-2 number, since 2×326971975680² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2495969215 + ... + 2495969345.

It is an arithmetic number, because the mean of its divisors is an integer number (1169998830).

Almost surely, 2^326971975680 is an apocalyptic number.

326971975680 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 326971975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673919326080).

326971975680 is an abundant number, since it is smaller than the sum of its proper divisors (1020866676480).

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

326971975680 is a wasteful number, since it uses less digits than its factorization.

326971975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 326971975680 in words is "three hundred twenty-six billion, nine hundred seventy-one million, nine hundred seventy-five thousand, six hundred eighty".