2327906625408 has 1152 divisors, whose sum is σ = 8688094571520. Its totient is φ = 604903624704.

The previous prime is 2327906625371. The next prime is 2327906625419. The reversal of 2327906625408 is 8045266097232.

2327906625408 is a `hidden beast` number, since 2 + 3 + 2 + 7 + 9 + 0 + 6 + 625 + 4 + 0 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6343069641 + ... + 6343070007.

It is an arithmetic number, because the mean of its divisors is an integer number (7541748760).

Almost surely, 2^{2327906625408} is an apocalyptic number.

2327906625408 is a gapful number since it is divisible by the number (28) 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 2327906625408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344047285760).

2327906625408 is an abundant number, since it is smaller than the sum of its proper divisors (6360187946112).

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

2327906625408 is an frugal number, since it uses more digits than its factorization.

2327906625408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2327906625408 in words is "two trillion, three hundred twenty-seven billion, nine hundred six million, six hundred twenty-five thousand, four hundred eight".