2327268672000 has 800 divisors, whose sum is σ = 8792451068544. Its totient is φ = 611767296000.

The previous prime is 2327268671999. The next prime is 2327268672031. The reversal of 2327268672000 is 2768627232.

2327268672000 is a `hidden beast` number, since 2 + 327 + 2 + 68 + 67 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 368060839 + ... + 368067161.

Almost surely, 2^{2327268672000} is an apocalyptic number.

2327268672000 is a gapful number since it is divisible by the number (20) 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 2327268672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396225534272).

2327268672000 is an abundant number, since it is smaller than the sum of its proper divisors (6465182396544).

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

2327268672000 is an frugal number, since it uses more digits than its factorization.

2327268672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6439 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2327268672000 in words is "two trillion, three hundred twenty-seven billion, two hundred sixty-eight million, six hundred seventy-two thousand".