2147072427360 has 864 divisors, whose sum is σ = 9047586667392. Its totient is φ = 460708577280.

The previous prime is 2147072427359. The next prime is 2147072427389. The reversal of 2147072427360 is 637242707412.

2147072427360 is a `hidden beast` number, since 2 + 1 + 47 + 0 + 7 + 242 + 7 + 360 = 666.

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 143 ways as a sum of consecutive naturals, for example, 516991044 + ... + 516995196.

It is an arithmetic number, because the mean of its divisors is an integer number (10471743828).

Almost surely, 2^{2147072427360} is an apocalyptic number.

2147072427360 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 2147072427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523793333696).

2147072427360 is an abundant number, since it is smaller than the sum of its proper divisors (6900514240032).

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

2147072427360 is a wasteful number, since it uses less digits than its factorization.

2147072427360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 2147072427360 in words is "two trillion, one hundred forty-seven billion, seventy-two million, four hundred twenty-seven thousand, three hundred sixty".