5979536640 has 1080 divisors, whose sum is σ = 27405477792. Its totient is φ = 1230888960.

The previous prime is 5979536639. The next prime is 5979536657. The reversal of 5979536640 is 466359795.

5979536640 is a `hidden beast` number, since 597 + 9 + 5 + 3 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55883467 + ... + 55883573.

Almost surely, 2^5979536640 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 5979536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13702738896).

5979536640 is an abundant number, since it is smaller than the sum of its proper divisors (21425941152).

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

5979536640 is a wasteful number, since it uses less digits than its factorization.

5979536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 5979536640 is about 77327.4636852910. The cubic root of 5979536640 is about 1815.0524402579.

The spelling of 5979536640 in words is "five billion, nine hundred seventy-nine million, five hundred thirty-six thousand, six hundred forty".