5772145680 has 240 divisors, whose sum is σ = 22230898560. Its totient is φ = 1314772992.

The previous prime is 5772145627. The next prime is 5772145693. The reversal of 5772145680 is 865412775.

5772145680 is a `hidden beast` number, since 5 + 7 + 72 + 14 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5772145680² = 66635331502285324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1575691 + ... + 1579349.

It is an arithmetic number, because the mean of its divisors is an integer number (92628744).

Almost surely, 2^5772145680 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 5772145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11115449280).

5772145680 is an abundant number, since it is smaller than the sum of its proper divisors (16458752880).

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

5772145680 is a wasteful number, since it uses less digits than its factorization.

5772145680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5772145680 is about 75974.6383999292. The cubic root of 5772145680 is about 1793.8209610181.

The spelling of 5772145680 in words is "five billion, seven hundred seventy-two million, one hundred forty-five thousand, six hundred eighty".