8027901468000 has 768 divisors, whose sum is σ = 29435844372480. Its totient is φ = 2125149696000.

The previous prime is 8027901467983. The next prime is 8027901468017. The reversal of 8027901468000 is 8641097208.

8027901468000 is a `hidden beast` number, since 80 + 27 + 90 + 1 + 468 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8027901467983) and next prime (8027901468017).

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 127 ways as a sum of consecutive naturals, for example, 15349715739 + ... + 15349716261.

It is an arithmetic number, because the mean of its divisors is an integer number (38327922360).

Almost surely, 2^{8027901468000} is an apocalyptic number.

8027901468000 is a gapful number since it is divisible by the number (80) 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 8027901468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14717922186240).

8027901468000 is an abundant number, since it is smaller than the sum of its proper divisors (21407942904480).

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

8027901468000 is a wasteful number, since it uses less digits than its factorization.

8027901468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 8027901468000 in words is "eight trillion, twenty-seven billion, nine hundred one million, four hundred sixty-eight thousand".