5446002461760 has 448 divisors, whose sum is σ = 21963683174400. Its totient is φ = 1244415965184.

The previous prime is 5446002461749. The next prime is 5446002461797. The reversal of 5446002461760 is 671642006445.

5446002461760 is a `hidden beast` number, since 5 + 4 + 4 + 6 + 0 + 0 + 24 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 226122679 + ... + 226146761.

Almost surely, 2^{5446002461760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5446002461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10981841587200).

5446002461760 is an abundant number, since it is smaller than the sum of its proper divisors (16517680712640).

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

5446002461760 is a wasteful number, since it uses less digits than its factorization.

5446002461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27855 (or 27839 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 5446002461760 in words is "five trillion, four hundred forty-six billion, two million, four hundred sixty-one thousand, seven hundred sixty".