5971746816 has 672 divisors, whose sum is σ = 22411944000. Its totient is φ = 1560674304.

The previous prime is 5971746811. The next prime is 5971746817. The reversal of 5971746816 is 6186471795.

5971746816 is a `hidden beast` number, since 597 + 1 + 7 + 46 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×5971746816² = 71323520068812275712, which contains 22 as substring.

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

Its product of digits (2540160) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (5971746811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205922290 + ... + 205922318.

Almost surely, 2^5971746816 is an apocalyptic number.

5971746816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5971746816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11205972000).

5971746816 is an abundant number, since it is smaller than the sum of its proper divisors (16440197184).

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

5971746816 is a wasteful number, since it uses less digits than its factorization.

5971746816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 5971746816 is about 77277.0782056361. The cubic root of 5971746816 is about 1814.2639129756.

The spelling of 5971746816 in words is "five billion, nine hundred seventy-one million, seven hundred forty-six thousand, eight hundred sixteen".