5965680672 has 384 divisors, whose sum is σ = 20994785280. Its totient is φ = 1612016640.

The previous prime is 5965680661. The next prime is 5965680691. The reversal of 5965680672 is 2760865695.

It is a happy number.

5965680672 is a `hidden beast` number, since 5 + 9 + 6 + 568 + 0 + 6 + 72 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8811598 + ... + 8812274.

It is an arithmetic number, because the mean of its divisors is an integer number (54673920).

Almost surely, 2^5965680672 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 5965680672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10497392640).

5965680672 is an abundant number, since it is smaller than the sum of its proper divisors (15029104608).

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

5965680672 is a wasteful number, since it uses less digits than its factorization.

5965680672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 5965680672 is about 77237.8189231156. The cubic root of 5965680672 is about 1813.6493906752.

The spelling of 5965680672 in words is "five billion, nine hundred sixty-five million, six hundred eighty thousand, six hundred seventy-two".