5971267680 has 384 divisors, whose sum is σ = 22997302272. Its totient is φ = 1271267328.

The previous prime is 5971267667. The next prime is 5971267711. The reversal of 5971267680 is 867621795.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6111352 + ... + 6112328.

It is an arithmetic number, because the mean of its divisors is an integer number (59888808).

Almost surely, 2^5971267680 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 5971267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11498651136).

5971267680 is an abundant number, since it is smaller than the sum of its proper divisors (17026034592).

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

5971267680 is a wasteful number, since it uses less digits than its factorization.

5971267680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 5971267680 is about 77273.9780262411. The cubic root of 5971267680 is about 1814.2153899091.

The spelling of 5971267680 in words is "five billion, nine hundred seventy-one million, two hundred sixty-seven thousand, six hundred eighty".