5479590176640 has 640 divisors, whose sum is σ = 21388184421120. Its totient is φ = 1330899517440.

The previous prime is 5479590176633. The next prime is 5479590176701. The reversal of 5479590176640 is 466710959745.

5479590176640 is a `hidden beast` number, since 5 + 479 + 5 + 90 + 1 + 76 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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, 27219394 + ... + 27419966.

It is an arithmetic number, because the mean of its divisors is an integer number (33419038158).

Almost surely, 2^{5479590176640} 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 5479590176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10694092210560).

5479590176640 is an abundant number, since it is smaller than the sum of its proper divisors (15908594244480).

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

5479590176640 is a wasteful number, since it uses less digits than its factorization.

5479590176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200652 (or 200631 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 5479590176640 in words is "five trillion, four hundred seventy-nine billion, five hundred ninety million, one hundred seventy-six thousand, six hundred forty".