5740642656 has 144 divisors (see below), whose sum is σ = 18963348768. Its totient is φ = 1613260800.

The previous prime is 5740642619. The next prime is 5740642681. The reversal of 5740642656 is 6562460475.

5740642656 is a `hidden beast` number, since 574 + 0 + 6 + 4 + 26 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 99636 + ... + 146316.

It is an arithmetic number, because the mean of its divisors is an integer number (131689922).

Almost surely, 2^5740642656 is an apocalyptic number.

5740642656 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 5740642656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9481674384).

5740642656 is an abundant number, since it is smaller than the sum of its proper divisors (13222706112).

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

5740642656 is a wasteful number, since it uses less digits than its factorization.

5740642656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46765 (or 46754 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 5740642656 is about 75767.0288186095. The cubic root of 5740642656 is about 1790.5515872390.

The spelling of 5740642656 in words is "five billion, seven hundred forty million, six hundred forty-two thousand, six hundred fifty-six".