6361444270080 has 1440 divisors, whose sum is σ = 24736746746880. Its totient is φ = 1549208125440.

The previous prime is 6361444270043. The next prime is 6361444270117. The reversal of 6361444270080 is 800724441636.

6361444270080 is a `hidden beast` number, since 6 + 3 + 6 + 144 + 427 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (6361444270043) and next prime (6361444270117).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24752701312 + ... + 24752701568.

It is an arithmetic number, because the mean of its divisors is an integer number (17178296352).

Almost surely, 2^{6361444270080} is an apocalyptic number.

6361444270080 is a gapful number since it is divisible by the number (60) 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 6361444270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12368373373440).

6361444270080 is an abundant number, since it is smaller than the sum of its proper divisors (18375302476800).

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

6361444270080 is a wasteful number, since it uses less digits than its factorization.

6361444270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 6361444270080 in words is "six trillion, three hundred sixty-one billion, four hundred forty-four million, two hundred seventy thousand, eighty".