323780641632 has 288 divisors, whose sum is σ = 1155455788032. Its totient is φ = 87066814464.

The previous prime is 323780641621. The next prime is 323780641643. The reversal of 323780641632 is 236146087323.

323780641632 is a `hidden beast` number, since 3 + 2 + 3 + 7 + 8 + 0 + 6 + 4 + 1 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (323780641621) and next prime (323780641643).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×323780641632² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750393 + ... + 1100295.

It is an arithmetic number, because the mean of its divisors is an integer number (4011999264).

Almost surely, 2^323780641632 is an apocalyptic number.

323780641632 is a gapful number since it is divisible by the number (32) 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 323780641632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577727894016).

323780641632 is an abundant number, since it is smaller than the sum of its proper divisors (831675146400).

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

323780641632 is a wasteful number, since it uses less digits than its factorization.

323780641632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349952 (or 349932 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 323780641632 in words is "three hundred twenty-three billion, seven hundred eighty million, six hundred forty-one thousand, six hundred thirty-two".