5742121680 has 60 divisors (see below), whose sum is σ = 19283961060. Its totient is φ = 1531232256.

The previous prime is 5742121657. The next prime is 5742121681. The reversal of 5742121680 is 861212475.

5742121680 is a `hidden beast` number, since 574 + 2 + 1 + 2 + 1 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2770127424 + 2971994256 = 52632^2 + 54516^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×5742121680² = 65943922775852044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742121681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3986865 + ... + 3988304.

It is an arithmetic number, because the mean of its divisors is an integer number (321399351).

Almost surely, 2^5742121680 is an apocalyptic number.

It is an amenable number.

5742121680 is an abundant number, since it is smaller than the sum of its proper divisors (13541839380).

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

5742121680 is a wasteful number, since it uses less digits than its factorization.

5742121680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7975188 (or 7975179 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5742121680 is about 75776.7885305256. The cubic root of 5742121680 is about 1790.7053471069.

The spelling of 5742121680 in words is "five billion, seven hundred forty-two million, one hundred twenty-one thousand, six hundred eighty".