5746137987744 has 384 divisors, whose sum is σ = 20917574092800. Its totient is φ = 1490894346240.

The previous prime is 5746137987727. The next prime is 5746137987749. The reversal of 5746137987744 is 4477897316475.

5746137987744 is a `hidden beast` number, since 5 + 7 + 461 + 3 + 7 + 98 + 7 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5746137987749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62290647 + ... + 62382825.

It is an arithmetic number, because the mean of its divisors is an integer number (54472849200).

Almost surely, 2^{5746137987744} is an apocalyptic number.

5746137987744 is a gapful number since it is divisible by the number (54) 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 5746137987744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10458787046400).

5746137987744 is an abundant number, since it is smaller than the sum of its proper divisors (15171436105056).

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

5746137987744 is a wasteful number, since it uses less digits than its factorization.

5746137987744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93153 (or 93139 counting only the distinct ones).

The product of its digits is 995742720, while the sum is 72.

The spelling of 5746137987744 in words is "five trillion, seven hundred forty-six billion, one hundred thirty-seven million, nine hundred eighty-seven thousand, seven hundred forty-four".