5715876672 has 224 divisors, whose sum is σ = 18557199360. Its totient is φ = 1710743040.

The previous prime is 5715876653. The next prime is 5715876679. The reversal of 5715876672 is 2766785175.

It is a happy number.

5715876672 is a `hidden beast` number, since 57 + 1 + 587 + 6 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×5715876672² = 65342492259027591168, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5715876679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1575853 + ... + 1579475.

It is an arithmetic number, because the mean of its divisors is an integer number (82844640).

Almost surely, 2^5715876672 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 5715876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9278599680).

5715876672 is an abundant number, since it is smaller than the sum of its proper divisors (12841322688).

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

5715876672 is a wasteful number, since it uses less digits than its factorization.

5715876672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3722 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The square root of 5715876672 is about 75603.4170656327. The cubic root of 5715876672 is about 1787.9729737818.

The spelling of 5715876672 in words is "five billion, seven hundred fifteen million, eight hundred seventy-six thousand, six hundred seventy-two".