21734756537742 has 288 divisors, whose sum is σ = 50554671568128. Its totient is φ = 6747182447616.

The previous prime is 21734756537731. The next prime is 21734756537807. The reversal of 21734756537742 is 24773565743712.

21734756537742 is a `hidden beast` number, since 2 + 1 + 7 + 3 + 4 + 7 + 56 + 537 + 7 + 42 = 666.

It is a super-2 number, since 2×21734756537742² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21734756537742.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69440116578 + ... + 69440116890.

It is an arithmetic number, because the mean of its divisors is an integer number (175537054056).

Almost surely, 2^{21734756537742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21734756537742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25277335784064).

21734756537742 is an abundant number, since it is smaller than the sum of its proper divisors (28819915030386).

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

21734756537742 is a wasteful number, since it uses less digits than its factorization.

21734756537742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1010 counting only the distinct ones).

The product of its digits is 207446400, while the sum is 63.

The spelling of 21734756537742 in words is "twenty-one trillion, seven hundred thirty-four billion, seven hundred fifty-six million, five hundred thirty-seven thousand, seven hundred forty-two".