5966873970624 has 756 divisors, whose sum is σ = 20689442771400. Its totient is φ = 1639275079680.

The previous prime is 5966873970539. The next prime is 5966873970641. The reversal of 5966873970624 is 4260793786695.

5966873970624 is a `hidden beast` number, since 596 + 6 + 8 + 7 + 3 + 9 + 7 + 0 + 6 + 24 = 666.

It is a super-2 number, since 2×5966873970624² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4855063642 + ... + 4855064870.

Almost surely, 2^{5966873970624} 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 5966873970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10344721385700).

5966873970624 is an abundant number, since it is smaller than the sum of its proper divisors (14722568800776).

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

5966873970624 is a wasteful number, since it uses less digits than its factorization.

5966873970624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 5966873970624 in words is "five trillion, nine hundred sixty-six billion, eight hundred seventy-three million, nine hundred seventy thousand, six hundred twenty-four".